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Finding the Third Proportional to 4,105.69 and 4,708.13

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Solution

The third proportional to 4,105.69 and 4,708.13 is: 5,398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.69 : 4,708.13 = 4,708.13 : x
  2. Step 2: Convert to fraction form
    4,105.69/4,708.13 = 4,708.13/x
  3. Step 3: Cross multiply
    4,105.69x = 4,708.13 × 4,708.13
  4. Step 4: Simplify right side
    4,105.69x = 22,166,441.02
  5. Step 5: Solve for x
    x = 22,166,441.02/4,105.69
  6. Step 6: Final answer
    x = 5,398.96

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.