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Finding the Third Proportional to 7,026 and 9,839

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Solution

The third proportional to 7,026 and 9,839 is: 13,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026 : 9,839 = 9,839 : x
  2. Step 2: Convert to fraction form
    7,026/9,839 = 9,839/x
  3. Step 3: Cross multiply
    7,026x = 9,839 × 9,839
  4. Step 4: Simplify right side
    7,026x = 96,805,921
  5. Step 5: Solve for x
    x = 96,805,921/7,026
  6. Step 6: Final answer
    x = 13,778.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.