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Finding the Third Proportional to 3,880.69 and 8,029.69

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Solution

The third proportional to 3,880.69 and 8,029.69 is: 16,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.69 : 8,029.69 = 8,029.69 : x
  2. Step 2: Convert to fraction form
    3,880.69/8,029.69 = 8,029.69/x
  3. Step 3: Cross multiply
    3,880.69x = 8,029.69 × 8,029.69
  4. Step 4: Simplify right side
    3,880.69x = 64,475,881.35
  5. Step 5: Solve for x
    x = 64,475,881.35/3,880.69
  6. Step 6: Final answer
    x = 16,614.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.