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Finding the Third Proportional to 6,394 and 11,870

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Solution

The third proportional to 6,394 and 11,870 is: 22,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394 : 11,870 = 11,870 : x
  2. Step 2: Convert to fraction form
    6,394/11,870 = 11,870/x
  3. Step 3: Cross multiply
    6,394x = 11,870 × 11,870
  4. Step 4: Simplify right side
    6,394x = 140,896,900
  5. Step 5: Solve for x
    x = 140,896,900/6,394
  6. Step 6: Final answer
    x = 22,035.80

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.