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Finding the Third Proportional to 27,740.92 and 59,915.64

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Solution

The third proportional to 27,740.92 and 59,915.64 is: 129,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.92 : 59,915.64 = 59,915.64 : x
  2. Step 2: Convert to fraction form
    27,740.92/59,915.64 = 59,915.64/x
  3. Step 3: Cross multiply
    27,740.92x = 59,915.64 × 59,915.64
  4. Step 4: Simplify right side
    27,740.92x = 3,589,883,523.41
  5. Step 5: Solve for x
    x = 3,589,883,523.41/27,740.92
  6. Step 6: Final answer
    x = 129,407.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.