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Finding the Third Proportional to 47,952 and 69,444

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Solution

The third proportional to 47,952 and 69,444 is: 100,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,952 : 69,444 = 69,444 : x
  2. Step 2: Convert to fraction form
    47,952/69,444 = 69,444/x
  3. Step 3: Cross multiply
    47,952x = 69,444 × 69,444
  4. Step 4: Simplify right side
    47,952x = 4,822,469,136
  5. Step 5: Solve for x
    x = 4,822,469,136/47,952
  6. Step 6: Final answer
    x = 100,568.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.