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Finding the Third Proportional to 24,503 and 35,809

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Solution

The third proportional to 24,503 and 35,809 is: 52,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503 : 35,809 = 35,809 : x
  2. Step 2: Convert to fraction form
    24,503/35,809 = 35,809/x
  3. Step 3: Cross multiply
    24,503x = 35,809 × 35,809
  4. Step 4: Simplify right side
    24,503x = 1,282,284,481
  5. Step 5: Solve for x
    x = 1,282,284,481/24,503
  6. Step 6: Final answer
    x = 52,331.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.