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Finding the Third Proportional to 39,397 and 86,449

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Solution

The third proportional to 39,397 and 86,449 is: 189,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,397 : 86,449 = 86,449 : x
  2. Step 2: Convert to fraction form
    39,397/86,449 = 86,449/x
  3. Step 3: Cross multiply
    39,397x = 86,449 × 86,449
  4. Step 4: Simplify right side
    39,397x = 7,473,429,601
  5. Step 5: Solve for x
    x = 7,473,429,601/39,397
  6. Step 6: Final answer
    x = 189,695.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.