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Finding the Third Proportional to 2,404.27 and 3,613.36

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Solution

The third proportional to 2,404.27 and 3,613.36 is: 5,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.27 : 3,613.36 = 3,613.36 : x
  2. Step 2: Convert to fraction form
    2,404.27/3,613.36 = 3,613.36/x
  3. Step 3: Cross multiply
    2,404.27x = 3,613.36 × 3,613.36
  4. Step 4: Simplify right side
    2,404.27x = 13,056,365.97
  5. Step 5: Solve for x
    x = 13,056,365.97/2,404.27
  6. Step 6: Final answer
    x = 5,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.