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Finding the Third Proportional to 27,472.50 and 59,978.25

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Solution

The third proportional to 27,472.50 and 59,978.25 is: 130,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472.50 : 59,978.25 = 59,978.25 : x
  2. Step 2: Convert to fraction form
    27,472.50/59,978.25 = 59,978.25/x
  3. Step 3: Cross multiply
    27,472.50x = 59,978.25 × 59,978.25
  4. Step 4: Simplify right side
    27,472.50x = 3,597,390,473.06
  5. Step 5: Solve for x
    x = 3,597,390,473.06/27,472.50
  6. Step 6: Final answer
    x = 130,945.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.