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Finding the Third Proportional to 24,002 and 35,753

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Solution

The third proportional to 24,002 and 35,753 is: 53,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002 : 35,753 = 35,753 : x
  2. Step 2: Convert to fraction form
    24,002/35,753 = 35,753/x
  3. Step 3: Cross multiply
    24,002x = 35,753 × 35,753
  4. Step 4: Simplify right side
    24,002x = 1,278,277,009
  5. Step 5: Solve for x
    x = 1,278,277,009/24,002
  6. Step 6: Final answer
    x = 53,257.10

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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.