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Finding the Third Proportional to 4,265.69 and 6,458.22

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Solution

The third proportional to 4,265.69 and 6,458.22 is: 9,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.69 : 6,458.22 = 6,458.22 : x
  2. Step 2: Convert to fraction form
    4,265.69/6,458.22 = 6,458.22/x
  3. Step 3: Cross multiply
    4,265.69x = 6,458.22 × 6,458.22
  4. Step 4: Simplify right side
    4,265.69x = 41,708,589.42
  5. Step 5: Solve for x
    x = 41,708,589.42/4,265.69
  6. Step 6: Final answer
    x = 9,777.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.