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Finding the Third Proportional to 2,613.79 and 4,048.66

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Solution

The third proportional to 2,613.79 and 4,048.66 is: 6,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.79 : 4,048.66 = 4,048.66 : x
  2. Step 2: Convert to fraction form
    2,613.79/4,048.66 = 4,048.66/x
  3. Step 3: Cross multiply
    2,613.79x = 4,048.66 × 4,048.66
  4. Step 4: Simplify right side
    2,613.79x = 16,391,609.52
  5. Step 5: Solve for x
    x = 16,391,609.52/2,613.79
  6. Step 6: Final answer
    x = 6,271.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.