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Finding the Third Proportional to 22,475 and 34,394

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Solution

The third proportional to 22,475 and 34,394 is: 52,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475 : 34,394 = 34,394 : x
  2. Step 2: Convert to fraction form
    22,475/34,394 = 34,394/x
  3. Step 3: Cross multiply
    22,475x = 34,394 × 34,394
  4. Step 4: Simplify right side
    22,475x = 1,182,947,236
  5. Step 5: Solve for x
    x = 1,182,947,236/22,475
  6. Step 6: Final answer
    x = 52,633.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.