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Finding the Third Proportional to 24,035 and 35,853

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Solution

The third proportional to 24,035 and 35,853 is: 53,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,035 : 35,853 = 35,853 : x
  2. Step 2: Convert to fraction form
    24,035/35,853 = 35,853/x
  3. Step 3: Cross multiply
    24,035x = 35,853 × 35,853
  4. Step 4: Simplify right side
    24,035x = 1,285,437,609
  5. Step 5: Solve for x
    x = 1,285,437,609/24,035
  6. Step 6: Final answer
    x = 53,481.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.