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Finding the Third Proportional to 25,841 and 34,448

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Solution

The third proportional to 25,841 and 34,448 is: 45,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841 : 34,448 = 34,448 : x
  2. Step 2: Convert to fraction form
    25,841/34,448 = 34,448/x
  3. Step 3: Cross multiply
    25,841x = 34,448 × 34,448
  4. Step 4: Simplify right side
    25,841x = 1,186,664,704
  5. Step 5: Solve for x
    x = 1,186,664,704/25,841
  6. Step 6: Final answer
    x = 45,921.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.