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Finding the Third Proportional to 5,162 and 6,791

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Solution

The third proportional to 5,162 and 6,791 is: 8,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162 : 6,791 = 6,791 : x
  2. Step 2: Convert to fraction form
    5,162/6,791 = 6,791/x
  3. Step 3: Cross multiply
    5,162x = 6,791 × 6,791
  4. Step 4: Simplify right side
    5,162x = 46,117,681
  5. Step 5: Solve for x
    x = 46,117,681/5,162
  6. Step 6: Final answer
    x = 8,934.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.