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Finding the Third Proportional to 27,552 and 59,772

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Solution

The third proportional to 27,552 and 59,772 is: 129,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,552 : 59,772 = 59,772 : x
  2. Step 2: Convert to fraction form
    27,552/59,772 = 59,772/x
  3. Step 3: Cross multiply
    27,552x = 59,772 × 59,772
  4. Step 4: Simplify right side
    27,552x = 3,572,691,984
  5. Step 5: Solve for x
    x = 3,572,691,984/27,552
  6. Step 6: Final answer
    x = 129,670.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.