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Finding the Third Proportional to 48,706.31 and 72,864.56

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Solution

The third proportional to 48,706.31 and 72,864.56 is: 109,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,706.31 : 72,864.56 = 72,864.56 : x
  2. Step 2: Convert to fraction form
    48,706.31/72,864.56 = 72,864.56/x
  3. Step 3: Cross multiply
    48,706.31x = 72,864.56 × 72,864.56
  4. Step 4: Simplify right side
    48,706.31x = 5,309,244,468.32
  5. Step 5: Solve for x
    x = 5,309,244,468.32/48,706.31
  6. Step 6: Final answer
    x = 109,005.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.