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Finding the Third Proportional to 48,632 and 72,840

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Solution

The third proportional to 48,632 and 72,840 is: 109,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,632 : 72,840 = 72,840 : x
  2. Step 2: Convert to fraction form
    48,632/72,840 = 72,840/x
  3. Step 3: Cross multiply
    48,632x = 72,840 × 72,840
  4. Step 4: Simplify right side
    48,632x = 5,305,665,600
  5. Step 5: Solve for x
    x = 5,305,665,600/48,632
  6. Step 6: Final answer
    x = 109,098.24

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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.