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Finding the Third Proportional to 4,078.69 and 5,010.19

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Solution

The third proportional to 4,078.69 and 5,010.19 is: 6,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.69 : 5,010.19 = 5,010.19 : x
  2. Step 2: Convert to fraction form
    4,078.69/5,010.19 = 5,010.19/x
  3. Step 3: Cross multiply
    4,078.69x = 5,010.19 × 5,010.19
  4. Step 4: Simplify right side
    4,078.69x = 25,101,978.79
  5. Step 5: Solve for x
    x = 25,101,978.79/4,078.69
  6. Step 6: Final answer
    x = 6,154.43

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.