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Finding the Third Proportional to 21,624 and 31,252

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Solution

The third proportional to 21,624 and 31,252 is: 45,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624 : 31,252 = 31,252 : x
  2. Step 2: Convert to fraction form
    21,624/31,252 = 31,252/x
  3. Step 3: Cross multiply
    21,624x = 31,252 × 31,252
  4. Step 4: Simplify right side
    21,624x = 976,687,504
  5. Step 5: Solve for x
    x = 976,687,504/21,624
  6. Step 6: Final answer
    x = 45,166.83

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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.