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Finding the Third Proportional to 42,772.13 and 63,807.75

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Solution

The third proportional to 42,772.13 and 63,807.75 is: 95,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,772.13 : 63,807.75 = 63,807.75 : x
  2. Step 2: Convert to fraction form
    42,772.13/63,807.75 = 63,807.75/x
  3. Step 3: Cross multiply
    42,772.13x = 63,807.75 × 63,807.75
  4. Step 4: Simplify right side
    42,772.13x = 4,071,428,960.06
  5. Step 5: Solve for x
    x = 4,071,428,960.06/42,772.13
  6. Step 6: Final answer
    x = 95,188.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.