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Finding the Third Proportional to 48,000.50 and 72,662

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Solution

The third proportional to 48,000.50 and 72,662 is: 109,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000.50 : 72,662 = 72,662 : x
  2. Step 2: Convert to fraction form
    48,000.50/72,662 = 72,662/x
  3. Step 3: Cross multiply
    48,000.50x = 72,662 × 72,662
  4. Step 4: Simplify right side
    48,000.50x = 5,279,766,244
  5. Step 5: Solve for x
    x = 5,279,766,244/48,000.50
  6. Step 6: Final answer
    x = 109,993.98

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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.