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Finding the Third Proportional to 14,376 and 20,292

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Solution

The third proportional to 14,376 and 20,292 is: 28,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376 : 20,292 = 20,292 : x
  2. Step 2: Convert to fraction form
    14,376/20,292 = 20,292/x
  3. Step 3: Cross multiply
    14,376x = 20,292 × 20,292
  4. Step 4: Simplify right side
    14,376x = 411,765,264
  5. Step 5: Solve for x
    x = 411,765,264/14,376
  6. Step 6: Final answer
    x = 28,642.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.