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Finding the Third Proportional to 25,828 and 39,864

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Solution

The third proportional to 25,828 and 39,864 is: 61,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,828 : 39,864 = 39,864 : x
  2. Step 2: Convert to fraction form
    25,828/39,864 = 39,864/x
  3. Step 3: Cross multiply
    25,828x = 39,864 × 39,864
  4. Step 4: Simplify right side
    25,828x = 1,589,138,496
  5. Step 5: Solve for x
    x = 1,589,138,496/25,828
  6. Step 6: Final answer
    x = 61,527.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.