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Finding the Third Proportional to 14,074 and 20,446

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Solution

The third proportional to 14,074 and 20,446 is: 29,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074 : 20,446 = 20,446 : x
  2. Step 2: Convert to fraction form
    14,074/20,446 = 20,446/x
  3. Step 3: Cross multiply
    14,074x = 20,446 × 20,446
  4. Step 4: Simplify right side
    14,074x = 418,038,916
  5. Step 5: Solve for x
    x = 418,038,916/14,074
  6. Step 6: Final answer
    x = 29,702.92

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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.