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Finding the Third Proportional to 11,814 and 24,870

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Solution

The third proportional to 11,814 and 24,870 is: 52,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814 : 24,870 = 24,870 : x
  2. Step 2: Convert to fraction form
    11,814/24,870 = 24,870/x
  3. Step 3: Cross multiply
    11,814x = 24,870 × 24,870
  4. Step 4: Simplify right side
    11,814x = 618,516,900
  5. Step 5: Solve for x
    x = 618,516,900/11,814
  6. Step 6: Final answer
    x = 52,354.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.