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Finding the Third Proportional to 24,463 and 52,382

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Solution

The third proportional to 24,463 and 52,382 is: 112,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,463 : 52,382 = 52,382 : x
  2. Step 2: Convert to fraction form
    24,463/52,382 = 52,382/x
  3. Step 3: Cross multiply
    24,463x = 52,382 × 52,382
  4. Step 4: Simplify right side
    24,463x = 2,743,873,924
  5. Step 5: Solve for x
    x = 2,743,873,924/24,463
  6. Step 6: Final answer
    x = 112,164.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.