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Finding the Third Proportional to 15,894 and 20,908

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Solution

The third proportional to 15,894 and 20,908 is: 27,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 20,908 = 20,908 : x
  2. Step 2: Convert to fraction form
    15,894/20,908 = 20,908/x
  3. Step 3: Cross multiply
    15,894x = 20,908 × 20,908
  4. Step 4: Simplify right side
    15,894x = 437,144,464
  5. Step 5: Solve for x
    x = 437,144,464/15,894
  6. Step 6: Final answer
    x = 27,503.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.