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Finding the Third Proportional to 11,543.63 and 17,909.44

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Solution

The third proportional to 11,543.63 and 17,909.44 is: 27,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.63 : 17,909.44 = 17,909.44 : x
  2. Step 2: Convert to fraction form
    11,543.63/17,909.44 = 17,909.44/x
  3. Step 3: Cross multiply
    11,543.63x = 17,909.44 × 17,909.44
  4. Step 4: Simplify right side
    11,543.63x = 320,747,951.57
  5. Step 5: Solve for x
    x = 320,747,951.57/11,543.63
  6. Step 6: Final answer
    x = 27,785.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.