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Finding the Third Proportional to 23,986 and 52,340

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Solution

The third proportional to 23,986 and 52,340 is: 114,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986 : 52,340 = 52,340 : x
  2. Step 2: Convert to fraction form
    23,986/52,340 = 52,340/x
  3. Step 3: Cross multiply
    23,986x = 52,340 × 52,340
  4. Step 4: Simplify right side
    23,986x = 2,739,475,600
  5. Step 5: Solve for x
    x = 2,739,475,600/23,986
  6. Step 6: Final answer
    x = 114,211.44

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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.