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Finding the Third Proportional to 27,561 and 59,700

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Solution

The third proportional to 27,561 and 59,700 is: 129,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,561 : 59,700 = 59,700 : x
  2. Step 2: Convert to fraction form
    27,561/59,700 = 59,700/x
  3. Step 3: Cross multiply
    27,561x = 59,700 × 59,700
  4. Step 4: Simplify right side
    27,561x = 3,564,090,000
  5. Step 5: Solve for x
    x = 3,564,090,000/27,561
  6. Step 6: Final answer
    x = 129,316.43

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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.