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Finding the Third Proportional to 22,438 and 47,200

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Solution

The third proportional to 22,438 and 47,200 is: 99,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438 : 47,200 = 47,200 : x
  2. Step 2: Convert to fraction form
    22,438/47,200 = 47,200/x
  3. Step 3: Cross multiply
    22,438x = 47,200 × 47,200
  4. Step 4: Simplify right side
    22,438x = 2,227,840,000
  5. Step 5: Solve for x
    x = 2,227,840,000/22,438
  6. Step 6: Final answer
    x = 99,288.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.