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Finding the Third Proportional to 24,856 and 26,872

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Solution

The third proportional to 24,856 and 26,872 is: 29,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856 : 26,872 = 26,872 : x
  2. Step 2: Convert to fraction form
    24,856/26,872 = 26,872/x
  3. Step 3: Cross multiply
    24,856x = 26,872 × 26,872
  4. Step 4: Simplify right side
    24,856x = 722,104,384
  5. Step 5: Solve for x
    x = 722,104,384/24,856
  6. Step 6: Final answer
    x = 29,051.51

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.