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Finding the Third Proportional to 13,234 and 20,283

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Solution

The third proportional to 13,234 and 20,283 is: 31,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234 : 20,283 = 20,283 : x
  2. Step 2: Convert to fraction form
    13,234/20,283 = 20,283/x
  3. Step 3: Cross multiply
    13,234x = 20,283 × 20,283
  4. Step 4: Simplify right side
    13,234x = 411,400,089
  5. Step 5: Solve for x
    x = 411,400,089/13,234
  6. Step 6: Final answer
    x = 31,086.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.