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Finding the Third Proportional to 14,471 and 31,543

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Solution

The third proportional to 14,471 and 31,543 is: 68,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471 : 31,543 = 31,543 : x
  2. Step 2: Convert to fraction form
    14,471/31,543 = 31,543/x
  3. Step 3: Cross multiply
    14,471x = 31,543 × 31,543
  4. Step 4: Simplify right side
    14,471x = 994,960,849
  5. Step 5: Solve for x
    x = 994,960,849/14,471
  6. Step 6: Final answer
    x = 68,755.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.