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Finding the Third Proportional to 22,432 and 47,189

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Solution

The third proportional to 22,432 and 47,189 is: 99,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432 : 47,189 = 47,189 : x
  2. Step 2: Convert to fraction form
    22,432/47,189 = 47,189/x
  3. Step 3: Cross multiply
    22,432x = 47,189 × 47,189
  4. Step 4: Simplify right side
    22,432x = 2,226,801,721
  5. Step 5: Solve for x
    x = 2,226,801,721/22,432
  6. Step 6: Final answer
    x = 99,268.98

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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.