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Finding the Third Proportional to 8,091 and 13,959

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Solution

The third proportional to 8,091 and 13,959 is: 24,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091 : 13,959 = 13,959 : x
  2. Step 2: Convert to fraction form
    8,091/13,959 = 13,959/x
  3. Step 3: Cross multiply
    8,091x = 13,959 × 13,959
  4. Step 4: Simplify right side
    8,091x = 194,853,681
  5. Step 5: Solve for x
    x = 194,853,681/8,091
  6. Step 6: Final answer
    x = 24,082.77

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.