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Finding the Third Proportional to 14,180 and 22,282

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Solution

The third proportional to 14,180 and 22,282 is: 35,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180 : 22,282 = 22,282 : x
  2. Step 2: Convert to fraction form
    14,180/22,282 = 22,282/x
  3. Step 3: Cross multiply
    14,180x = 22,282 × 22,282
  4. Step 4: Simplify right side
    14,180x = 496,487,524
  5. Step 5: Solve for x
    x = 496,487,524/14,180
  6. Step 6: Final answer
    x = 35,013.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.