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Finding the Third Proportional to 1,207.97 and 2,613.94

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Solution

The third proportional to 1,207.97 and 2,613.94 is: 5,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.97 : 2,613.94 = 2,613.94 : x
  2. Step 2: Convert to fraction form
    1,207.97/2,613.94 = 2,613.94/x
  3. Step 3: Cross multiply
    1,207.97x = 2,613.94 × 2,613.94
  4. Step 4: Simplify right side
    1,207.97x = 6,832,669.25
  5. Step 5: Solve for x
    x = 6,832,669.25/1,207.97
  6. Step 6: Final answer
    x = 5,656.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.