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Finding the Third Proportional to 13,234 and 18,231

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Solution

The third proportional to 13,234 and 18,231 is: 25,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234 : 18,231 = 18,231 : x
  2. Step 2: Convert to fraction form
    13,234/18,231 = 18,231/x
  3. Step 3: Cross multiply
    13,234x = 18,231 × 18,231
  4. Step 4: Simplify right side
    13,234x = 332,369,361
  5. Step 5: Solve for x
    x = 332,369,361/13,234
  6. Step 6: Final answer
    x = 25,114.81

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.