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Finding the Third Proportional to 48,422 and 72,685

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Solution

The third proportional to 48,422 and 72,685 is: 109,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,422 : 72,685 = 72,685 : x
  2. Step 2: Convert to fraction form
    48,422/72,685 = 72,685/x
  3. Step 3: Cross multiply
    48,422x = 72,685 × 72,685
  4. Step 4: Simplify right side
    48,422x = 5,283,109,225
  5. Step 5: Solve for x
    x = 5,283,109,225/48,422
  6. Step 6: Final answer
    x = 109,105.56

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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.