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Finding the Third Proportional to 23,986 and 36,314

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Solution

The third proportional to 23,986 and 36,314 is: 54,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986 : 36,314 = 36,314 : x
  2. Step 2: Convert to fraction form
    23,986/36,314 = 36,314/x
  3. Step 3: Cross multiply
    23,986x = 36,314 × 36,314
  4. Step 4: Simplify right side
    23,986x = 1,318,706,596
  5. Step 5: Solve for x
    x = 1,318,706,596/23,986
  6. Step 6: Final answer
    x = 54,978.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.