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Finding the Third Proportional to 24,367.75 and 30,503

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Solution

The third proportional to 24,367.75 and 30,503 is: 38,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,367.75 : 30,503 = 30,503 : x
  2. Step 2: Convert to fraction form
    24,367.75/30,503 = 30,503/x
  3. Step 3: Cross multiply
    24,367.75x = 30,503 × 30,503
  4. Step 4: Simplify right side
    24,367.75x = 930,433,009
  5. Step 5: Solve for x
    x = 930,433,009/24,367.75
  6. Step 6: Final answer
    x = 38,182.97

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.