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Finding the Third Proportional to 7,782 and 11,853

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Solution

The third proportional to 7,782 and 11,853 is: 18,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 11,853 = 11,853 : x
  2. Step 2: Convert to fraction form
    7,782/11,853 = 11,853/x
  3. Step 3: Cross multiply
    7,782x = 11,853 × 11,853
  4. Step 4: Simplify right side
    7,782x = 140,493,609
  5. Step 5: Solve for x
    x = 140,493,609/7,782
  6. Step 6: Final answer
    x = 18,053.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.