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Finding the Third Proportional to 41,737.50 and 64,722

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Solution

The third proportional to 41,737.50 and 64,722 is: 100,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,737.50 : 64,722 = 64,722 : x
  2. Step 2: Convert to fraction form
    41,737.50/64,722 = 64,722/x
  3. Step 3: Cross multiply
    41,737.50x = 64,722 × 64,722
  4. Step 4: Simplify right side
    41,737.50x = 4,188,937,284
  5. Step 5: Solve for x
    x = 4,188,937,284/41,737.50
  6. Step 6: Final answer
    x = 100,363.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.