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Finding the Third Proportional to 23,986 and 52,184

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Solution

The third proportional to 23,986 and 52,184 is: 113,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986 : 52,184 = 52,184 : x
  2. Step 2: Convert to fraction form
    23,986/52,184 = 52,184/x
  3. Step 3: Cross multiply
    23,986x = 52,184 × 52,184
  4. Step 4: Simplify right side
    23,986x = 2,723,169,856
  5. Step 5: Solve for x
    x = 2,723,169,856/23,986
  6. Step 6: Final answer
    x = 113,531.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.