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Finding the Third Proportional to 24,896 and 37,864

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Solution

The third proportional to 24,896 and 37,864 is: 57,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896 : 37,864 = 37,864 : x
  2. Step 2: Convert to fraction form
    24,896/37,864 = 37,864/x
  3. Step 3: Cross multiply
    24,896x = 37,864 × 37,864
  4. Step 4: Simplify right side
    24,896x = 1,433,682,496
  5. Step 5: Solve for x
    x = 1,433,682,496/24,896
  6. Step 6: Final answer
    x = 57,586.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.