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Finding the Third Proportional to 7,902 and 10,743

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Solution

The third proportional to 7,902 and 10,743 is: 14,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902 : 10,743 = 10,743 : x
  2. Step 2: Convert to fraction form
    7,902/10,743 = 10,743/x
  3. Step 3: Cross multiply
    7,902x = 10,743 × 10,743
  4. Step 4: Simplify right side
    7,902x = 115,412,049
  5. Step 5: Solve for x
    x = 115,412,049/7,902
  6. Step 6: Final answer
    x = 14,605.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.