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Finding the Third Proportional to 27,610.50 and 59,802

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Solution

The third proportional to 27,610.50 and 59,802 is: 129,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,610.50 : 59,802 = 59,802 : x
  2. Step 2: Convert to fraction form
    27,610.50/59,802 = 59,802/x
  3. Step 3: Cross multiply
    27,610.50x = 59,802 × 59,802
  4. Step 4: Simplify right side
    27,610.50x = 3,576,279,204
  5. Step 5: Solve for x
    x = 3,576,279,204/27,610.50
  6. Step 6: Final answer
    x = 129,526.06

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