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Finding the Third Proportional to 25,769 and 41,448

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Solution

The third proportional to 25,769 and 41,448 is: 66,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769 : 41,448 = 41,448 : x
  2. Step 2: Convert to fraction form
    25,769/41,448 = 41,448/x
  3. Step 3: Cross multiply
    25,769x = 41,448 × 41,448
  4. Step 4: Simplify right side
    25,769x = 1,717,936,704
  5. Step 5: Solve for x
    x = 1,717,936,704/25,769
  6. Step 6: Final answer
    x = 66,666.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.