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Finding the Third Proportional to 22,324 and 47,272

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Solution

The third proportional to 22,324 and 47,272 is: 100,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324 : 47,272 = 47,272 : x
  2. Step 2: Convert to fraction form
    22,324/47,272 = 47,272/x
  3. Step 3: Cross multiply
    22,324x = 47,272 × 47,272
  4. Step 4: Simplify right side
    22,324x = 2,234,641,984
  5. Step 5: Solve for x
    x = 2,234,641,984/22,324
  6. Step 6: Final answer
    x = 100,100.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.