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Finding the Third Proportional to 8,266 and 13,791

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Solution

The third proportional to 8,266 and 13,791 is: 23,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266 : 13,791 = 13,791 : x
  2. Step 2: Convert to fraction form
    8,266/13,791 = 13,791/x
  3. Step 3: Cross multiply
    8,266x = 13,791 × 13,791
  4. Step 4: Simplify right side
    8,266x = 190,191,681
  5. Step 5: Solve for x
    x = 190,191,681/8,266
  6. Step 6: Final answer
    x = 23,008.91

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.