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Finding the Third Proportional to 33,471 and 48,862.50

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Solution

The third proportional to 33,471 and 48,862.50 is: 71,331.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471 : 48,862.50 = 48,862.50 : x
  2. Step 2: Convert to fraction form
    33,471/48,862.50 = 48,862.50/x
  3. Step 3: Cross multiply
    33,471x = 48,862.50 × 48,862.50
  4. Step 4: Simplify right side
    33,471x = 2,387,543,906.25
  5. Step 5: Solve for x
    x = 2,387,543,906.25/33,471
  6. Step 6: Final answer
    x = 71,331.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.