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Finding the Third Proportional to 49,002.75 and 75,714.75

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Solution

The third proportional to 49,002.75 and 75,714.75 is: 116,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,002.75 : 75,714.75 = 75,714.75 : x
  2. Step 2: Convert to fraction form
    49,002.75/75,714.75 = 75,714.75/x
  3. Step 3: Cross multiply
    49,002.75x = 75,714.75 × 75,714.75
  4. Step 4: Simplify right side
    49,002.75x = 5,732,723,367.56
  5. Step 5: Solve for x
    x = 5,732,723,367.56/49,002.75
  6. Step 6: Final answer
    x = 116,987.79

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Why These Related Problems?

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