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Finding the Third Proportional to 12,840 and 17,228

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Solution

The third proportional to 12,840 and 17,228 is: 23,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 17,228 = 17,228 : x
  2. Step 2: Convert to fraction form
    12,840/17,228 = 17,228/x
  3. Step 3: Cross multiply
    12,840x = 17,228 × 17,228
  4. Step 4: Simplify right side
    12,840x = 296,803,984
  5. Step 5: Solve for x
    x = 296,803,984/12,840
  6. Step 6: Final answer
    x = 23,115.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.