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Finding the Third Proportional to 40,468.50 and 44,703

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Solution

The third proportional to 40,468.50 and 44,703 is: 49,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,468.50 : 44,703 = 44,703 : x
  2. Step 2: Convert to fraction form
    40,468.50/44,703 = 44,703/x
  3. Step 3: Cross multiply
    40,468.50x = 44,703 × 44,703
  4. Step 4: Simplify right side
    40,468.50x = 1,998,358,209
  5. Step 5: Solve for x
    x = 1,998,358,209/40,468.50
  6. Step 6: Final answer
    x = 49,380.59

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.