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Finding the Third Proportional to 5,887.69 and 10,486.97

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Solution

The third proportional to 5,887.69 and 10,486.97 is: 18,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.69 : 10,486.97 = 10,486.97 : x
  2. Step 2: Convert to fraction form
    5,887.69/10,486.97 = 10,486.97/x
  3. Step 3: Cross multiply
    5,887.69x = 10,486.97 × 10,486.97
  4. Step 4: Simplify right side
    5,887.69x = 109,976,513.56
  5. Step 5: Solve for x
    x = 109,976,513.56/5,887.69
  6. Step 6: Final answer
    x = 18,679.07

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.