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Finding the Third Proportional to 10,914 and 24,246

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Solution

The third proportional to 10,914 and 24,246 is: 53,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914 : 24,246 = 24,246 : x
  2. Step 2: Convert to fraction form
    10,914/24,246 = 24,246/x
  3. Step 3: Cross multiply
    10,914x = 24,246 × 24,246
  4. Step 4: Simplify right side
    10,914x = 587,868,516
  5. Step 5: Solve for x
    x = 587,868,516/10,914
  6. Step 6: Final answer
    x = 53,863.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.