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Finding the Third Proportional to 48,432 and 72,927

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Solution

The third proportional to 48,432 and 72,927 is: 109,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432 : 72,927 = 72,927 : x
  2. Step 2: Convert to fraction form
    48,432/72,927 = 72,927/x
  3. Step 3: Cross multiply
    48,432x = 72,927 × 72,927
  4. Step 4: Simplify right side
    48,432x = 5,318,347,329
  5. Step 5: Solve for x
    x = 5,318,347,329/48,432
  6. Step 6: Final answer
    x = 109,810.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.