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Finding the Third Proportional to 47,304.75 and 71,154.75

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Solution

The third proportional to 47,304.75 and 71,154.75 is: 107,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,304.75 : 71,154.75 = 71,154.75 : x
  2. Step 2: Convert to fraction form
    47,304.75/71,154.75 = 71,154.75/x
  3. Step 3: Cross multiply
    47,304.75x = 71,154.75 × 71,154.75
  4. Step 4: Simplify right side
    47,304.75x = 5,062,998,447.56
  5. Step 5: Solve for x
    x = 5,062,998,447.56/47,304.75
  6. Step 6: Final answer
    x = 107,029.39

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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.