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Finding the Third Proportional to 1,167.72 and 2,486.80

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Solution

The third proportional to 1,167.72 and 2,486.80 is: 5,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.72 : 2,486.80 = 2,486.80 : x
  2. Step 2: Convert to fraction form
    1,167.72/2,486.80 = 2,486.80/x
  3. Step 3: Cross multiply
    1,167.72x = 2,486.80 × 2,486.80
  4. Step 4: Simplify right side
    1,167.72x = 6,184,198.16
  5. Step 5: Solve for x
    x = 6,184,198.16/1,167.72
  6. Step 6: Final answer
    x = 5,295.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.