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Finding the Third Proportional to 45,447.75 and 65,863.13

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Solution

The third proportional to 45,447.75 and 65,863.13 is: 95,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,447.75 : 65,863.13 = 65,863.13 : x
  2. Step 2: Convert to fraction form
    45,447.75/65,863.13 = 65,863.13/x
  3. Step 3: Cross multiply
    45,447.75x = 65,863.13 × 65,863.13
  4. Step 4: Simplify right side
    45,447.75x = 4,337,951,234.77
  5. Step 5: Solve for x
    x = 4,337,951,234.77/45,447.75
  6. Step 6: Final answer
    x = 95,449.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.