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Finding the Third Proportional to 6,998 and 10,743

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Solution

The third proportional to 6,998 and 10,743 is: 16,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998 : 10,743 = 10,743 : x
  2. Step 2: Convert to fraction form
    6,998/10,743 = 10,743/x
  3. Step 3: Cross multiply
    6,998x = 10,743 × 10,743
  4. Step 4: Simplify right side
    6,998x = 115,412,049
  5. Step 5: Solve for x
    x = 115,412,049/6,998
  6. Step 6: Final answer
    x = 16,492.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.