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Finding the Third Proportional to 24,232 and 51,398

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Solution

The third proportional to 24,232 and 51,398 is: 109,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232 : 51,398 = 51,398 : x
  2. Step 2: Convert to fraction form
    24,232/51,398 = 51,398/x
  3. Step 3: Cross multiply
    24,232x = 51,398 × 51,398
  4. Step 4: Simplify right side
    24,232x = 2,641,754,404
  5. Step 5: Solve for x
    x = 2,641,754,404/24,232
  6. Step 6: Final answer
    x = 109,019.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.