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Finding the Third Proportional to 17,612 and 23,986

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Solution

The third proportional to 17,612 and 23,986 is: 32,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,612 : 23,986 = 23,986 : x
  2. Step 2: Convert to fraction form
    17,612/23,986 = 23,986/x
  3. Step 3: Cross multiply
    17,612x = 23,986 × 23,986
  4. Step 4: Simplify right side
    17,612x = 575,328,196
  5. Step 5: Solve for x
    x = 575,328,196/17,612
  6. Step 6: Final answer
    x = 32,666.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.