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Finding the Third Proportional to 14,304 and 20,716

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Solution

The third proportional to 14,304 and 20,716 is: 30,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304 : 20,716 = 20,716 : x
  2. Step 2: Convert to fraction form
    14,304/20,716 = 20,716/x
  3. Step 3: Cross multiply
    14,304x = 20,716 × 20,716
  4. Step 4: Simplify right side
    14,304x = 429,152,656
  5. Step 5: Solve for x
    x = 429,152,656/14,304
  6. Step 6: Final answer
    x = 30,002.28

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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.