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Finding the Third Proportional to 4,078.69 and 5,950.13

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Solution

The third proportional to 4,078.69 and 5,950.13 is: 8,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.69 : 5,950.13 = 5,950.13 : x
  2. Step 2: Convert to fraction form
    4,078.69/5,950.13 = 5,950.13/x
  3. Step 3: Cross multiply
    4,078.69x = 5,950.13 × 5,950.13
  4. Step 4: Simplify right side
    4,078.69x = 35,403,987.52
  5. Step 5: Solve for x
    x = 35,403,987.52/4,078.69
  6. Step 6: Final answer
    x = 8,680.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.