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Finding the Third Proportional to 47,864 and 70,413

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Solution

The third proportional to 47,864 and 70,413 is: 103,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,864 : 70,413 = 70,413 : x
  2. Step 2: Convert to fraction form
    47,864/70,413 = 70,413/x
  3. Step 3: Cross multiply
    47,864x = 70,413 × 70,413
  4. Step 4: Simplify right side
    47,864x = 4,957,990,569
  5. Step 5: Solve for x
    x = 4,957,990,569/47,864
  6. Step 6: Final answer
    x = 103,584.96

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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.