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Finding the Third Proportional to 22,986 and 36,600.75

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Solution

The third proportional to 22,986 and 36,600.75 is: 58,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986 : 36,600.75 = 36,600.75 : x
  2. Step 2: Convert to fraction form
    22,986/36,600.75 = 36,600.75/x
  3. Step 3: Cross multiply
    22,986x = 36,600.75 × 36,600.75
  4. Step 4: Simplify right side
    22,986x = 1,339,614,900.56
  5. Step 5: Solve for x
    x = 1,339,614,900.56/22,986
  6. Step 6: Final answer
    x = 58,279.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.