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Finding the Third Proportional to 27,547 and 60,371

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Solution

The third proportional to 27,547 and 60,371 is: 132,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547 : 60,371 = 60,371 : x
  2. Step 2: Convert to fraction form
    27,547/60,371 = 60,371/x
  3. Step 3: Cross multiply
    27,547x = 60,371 × 60,371
  4. Step 4: Simplify right side
    27,547x = 3,644,657,641
  5. Step 5: Solve for x
    x = 3,644,657,641/27,547
  6. Step 6: Final answer
    x = 132,306.88

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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.