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Finding the Third Proportional to 17,551 and 25,402

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Solution

The third proportional to 17,551 and 25,402 is: 36,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,551 : 25,402 = 25,402 : x
  2. Step 2: Convert to fraction form
    17,551/25,402 = 25,402/x
  3. Step 3: Cross multiply
    17,551x = 25,402 × 25,402
  4. Step 4: Simplify right side
    17,551x = 645,261,604
  5. Step 5: Solve for x
    x = 645,261,604/17,551
  6. Step 6: Final answer
    x = 36,764.95

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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.