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Finding the Third Proportional to 24,003 and 35,908

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Solution

The third proportional to 24,003 and 35,908 is: 53,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,003 : 35,908 = 35,908 : x
  2. Step 2: Convert to fraction form
    24,003/35,908 = 35,908/x
  3. Step 3: Cross multiply
    24,003x = 35,908 × 35,908
  4. Step 4: Simplify right side
    24,003x = 1,289,384,464
  5. Step 5: Solve for x
    x = 1,289,384,464/24,003
  6. Step 6: Final answer
    x = 53,717.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.