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Finding the Third Proportional to 24,966 and 33,398

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Solution

The third proportional to 24,966 and 33,398 is: 44,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,966 : 33,398 = 33,398 : x
  2. Step 2: Convert to fraction form
    24,966/33,398 = 33,398/x
  3. Step 3: Cross multiply
    24,966x = 33,398 × 33,398
  4. Step 4: Simplify right side
    24,966x = 1,115,426,404
  5. Step 5: Solve for x
    x = 1,115,426,404/24,966
  6. Step 6: Final answer
    x = 44,677.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.