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Finding the Third Proportional to 48,320.50 and 72,255.50

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Solution

The third proportional to 48,320.50 and 72,255.50 is: 108,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,320.50 : 72,255.50 = 72,255.50 : x
  2. Step 2: Convert to fraction form
    48,320.50/72,255.50 = 72,255.50/x
  3. Step 3: Cross multiply
    48,320.50x = 72,255.50 × 72,255.50
  4. Step 4: Simplify right side
    48,320.50x = 5,220,857,280.25
  5. Step 5: Solve for x
    x = 5,220,857,280.25/48,320.50
  6. Step 6: Final answer
    x = 108,046.43

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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.