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Finding the Third Proportional to 4,308.19 and 8,074.69

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Solution

The third proportional to 4,308.19 and 8,074.69 is: 15,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.19 : 8,074.69 = 8,074.69 : x
  2. Step 2: Convert to fraction form
    4,308.19/8,074.69 = 8,074.69/x
  3. Step 3: Cross multiply
    4,308.19x = 8,074.69 × 8,074.69
  4. Step 4: Simplify right side
    4,308.19x = 65,200,578.22
  5. Step 5: Solve for x
    x = 65,200,578.22/4,308.19
  6. Step 6: Final answer
    x = 15,134.11

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.