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Finding the Third Proportional to 24,781.41 and 35,326.78

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Solution

The third proportional to 24,781.41 and 35,326.78 is: 50,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781.41 : 35,326.78 = 35,326.78 : x
  2. Step 2: Convert to fraction form
    24,781.41/35,326.78 = 35,326.78/x
  3. Step 3: Cross multiply
    24,781.41x = 35,326.78 × 35,326.78
  4. Step 4: Simplify right side
    24,781.41x = 1,247,981,473.49
  5. Step 5: Solve for x
    x = 1,247,981,473.49/24,781.41
  6. Step 6: Final answer
    x = 50,359.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.