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Finding the Third Proportional to 7,843 and 9,919

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Solution

The third proportional to 7,843 and 9,919 is: 12,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843 : 9,919 = 9,919 : x
  2. Step 2: Convert to fraction form
    7,843/9,919 = 9,919/x
  3. Step 3: Cross multiply
    7,843x = 9,919 × 9,919
  4. Step 4: Simplify right side
    7,843x = 98,386,561
  5. Step 5: Solve for x
    x = 98,386,561/7,843
  6. Step 6: Final answer
    x = 12,544.51

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.