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Finding the Third Proportional to 4,429.69 and 6,016.78

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Solution

The third proportional to 4,429.69 and 6,016.78 is: 8,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.69 : 6,016.78 = 6,016.78 : x
  2. Step 2: Convert to fraction form
    4,429.69/6,016.78 = 6,016.78/x
  3. Step 3: Cross multiply
    4,429.69x = 6,016.78 × 6,016.78
  4. Step 4: Simplify right side
    4,429.69x = 36,201,656.61
  5. Step 5: Solve for x
    x = 36,201,656.61/4,429.69
  6. Step 6: Final answer
    x = 8,172.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.