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Finding the Third Proportional to 24,891 and 33,798

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Solution

The third proportional to 24,891 and 33,798 is: 45,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,891 : 33,798 = 33,798 : x
  2. Step 2: Convert to fraction form
    24,891/33,798 = 33,798/x
  3. Step 3: Cross multiply
    24,891x = 33,798 × 33,798
  4. Step 4: Simplify right side
    24,891x = 1,142,304,804
  5. Step 5: Solve for x
    x = 1,142,304,804/24,891
  6. Step 6: Final answer
    x = 45,892.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.