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Finding the Third Proportional to 24,899 and 34,240

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Solution

The third proportional to 24,899 and 34,240 is: 47,085.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,899 : 34,240 = 34,240 : x
  2. Step 2: Convert to fraction form
    24,899/34,240 = 34,240/x
  3. Step 3: Cross multiply
    24,899x = 34,240 × 34,240
  4. Step 4: Simplify right side
    24,899x = 1,172,377,600
  5. Step 5: Solve for x
    x = 1,172,377,600/24,899
  6. Step 6: Final answer
    x = 47,085.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.