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Finding the Third Proportional to 27,295.31 and 59,665.78

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Solution

The third proportional to 27,295.31 and 59,665.78 is: 130,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295.31 : 59,665.78 = 59,665.78 : x
  2. Step 2: Convert to fraction form
    27,295.31/59,665.78 = 59,665.78/x
  3. Step 3: Cross multiply
    27,295.31x = 59,665.78 × 59,665.78
  4. Step 4: Simplify right side
    27,295.31x = 3,560,005,452.17
  5. Step 5: Solve for x
    x = 3,560,005,452.17/27,295.31
  6. Step 6: Final answer
    x = 130,425.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.