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Finding the Third Proportional to 2,613.09 and 3,988.83

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Solution

The third proportional to 2,613.09 and 3,988.83 is: 6,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.09 : 3,988.83 = 3,988.83 : x
  2. Step 2: Convert to fraction form
    2,613.09/3,988.83 = 3,988.83/x
  3. Step 3: Cross multiply
    2,613.09x = 3,988.83 × 3,988.83
  4. Step 4: Simplify right side
    2,613.09x = 15,910,749.81
  5. Step 5: Solve for x
    x = 15,910,749.81/2,613.09
  6. Step 6: Final answer
    x = 6,088.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.