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Finding the Third Proportional to 10,986 and 24,156

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Solution

The third proportional to 10,986 and 24,156 is: 53,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986 : 24,156 = 24,156 : x
  2. Step 2: Convert to fraction form
    10,986/24,156 = 24,156/x
  3. Step 3: Cross multiply
    10,986x = 24,156 × 24,156
  4. Step 4: Simplify right side
    10,986x = 583,512,336
  5. Step 5: Solve for x
    x = 583,512,336/10,986
  6. Step 6: Final answer
    x = 53,114.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.