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Finding the Third Proportional to 27,344 and 63,792

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Solution

The third proportional to 27,344 and 63,792 is: 148,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,344 : 63,792 = 63,792 : x
  2. Step 2: Convert to fraction form
    27,344/63,792 = 63,792/x
  3. Step 3: Cross multiply
    27,344x = 63,792 × 63,792
  4. Step 4: Simplify right side
    27,344x = 4,069,419,264
  5. Step 5: Solve for x
    x = 4,069,419,264/27,344
  6. Step 6: Final answer
    x = 148,823.12

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.