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Finding the Third Proportional to 24,885 and 33,789

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Solution

The third proportional to 24,885 and 33,789 is: 45,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,885 : 33,789 = 33,789 : x
  2. Step 2: Convert to fraction form
    24,885/33,789 = 33,789/x
  3. Step 3: Cross multiply
    24,885x = 33,789 × 33,789
  4. Step 4: Simplify right side
    24,885x = 1,141,696,521
  5. Step 5: Solve for x
    x = 1,141,696,521/24,885
  6. Step 6: Final answer
    x = 45,878.90

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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.