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Finding the Third Proportional to 47,691.75 and 70,074.75

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Solution

The third proportional to 47,691.75 and 70,074.75 is: 102,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,691.75 : 70,074.75 = 70,074.75 : x
  2. Step 2: Convert to fraction form
    47,691.75/70,074.75 = 70,074.75/x
  3. Step 3: Cross multiply
    47,691.75x = 70,074.75 × 70,074.75
  4. Step 4: Simplify right side
    47,691.75x = 4,910,470,587.56
  5. Step 5: Solve for x
    x = 4,910,470,587.56/47,691.75
  6. Step 6: Final answer
    x = 102,962.68

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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.