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Finding the Third Proportional to 8,187.94 and 17,543.13

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Solution

The third proportional to 8,187.94 and 17,543.13 is: 37,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.94 : 17,543.13 = 17,543.13 : x
  2. Step 2: Convert to fraction form
    8,187.94/17,543.13 = 17,543.13/x
  3. Step 3: Cross multiply
    8,187.94x = 17,543.13 × 17,543.13
  4. Step 4: Simplify right side
    8,187.94x = 307,761,234.77
  5. Step 5: Solve for x
    x = 307,761,234.77/8,187.94
  6. Step 6: Final answer
    x = 37,587.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.