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Finding the Third Proportional to 29,397.75 and 44,162.86

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Solution

The third proportional to 29,397.75 and 44,162.86 is: 66,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,397.75 : 44,162.86 = 44,162.86 : x
  2. Step 2: Convert to fraction form
    29,397.75/44,162.86 = 44,162.86/x
  3. Step 3: Cross multiply
    29,397.75x = 44,162.86 × 44,162.86
  4. Step 4: Simplify right side
    29,397.75x = 1,950,358,148.18
  5. Step 5: Solve for x
    x = 1,950,358,148.18/29,397.75
  6. Step 6: Final answer
    x = 66,343.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.