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Finding the Third Proportional to 23,282 and 36,867

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Solution

The third proportional to 23,282 and 36,867 is: 58,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,282 : 36,867 = 36,867 : x
  2. Step 2: Convert to fraction form
    23,282/36,867 = 36,867/x
  3. Step 3: Cross multiply
    23,282x = 36,867 × 36,867
  4. Step 4: Simplify right side
    23,282x = 1,359,175,689
  5. Step 5: Solve for x
    x = 1,359,175,689/23,282
  6. Step 6: Final answer
    x = 58,378.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.