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Finding the Third Proportional to 51,489 and 75,714.75

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Solution

The third proportional to 51,489 and 75,714.75 is: 111,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489 : 75,714.75 = 75,714.75 : x
  2. Step 2: Convert to fraction form
    51,489/75,714.75 = 75,714.75/x
  3. Step 3: Cross multiply
    51,489x = 75,714.75 × 75,714.75
  4. Step 4: Simplify right side
    51,489x = 5,732,723,367.56
  5. Step 5: Solve for x
    x = 5,732,723,367.56/51,489
  6. Step 6: Final answer
    x = 111,338.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.