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Finding the Third Proportional to 3,862.69 and 5,725.69

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Solution

The third proportional to 3,862.69 and 5,725.69 is: 8,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 5,725.69 = 5,725.69 : x
  2. Step 2: Convert to fraction form
    3,862.69/5,725.69 = 5,725.69/x
  3. Step 3: Cross multiply
    3,862.69x = 5,725.69 × 5,725.69
  4. Step 4: Simplify right side
    3,862.69x = 32,783,497.35
  5. Step 5: Solve for x
    x = 32,783,497.35/3,862.69
  6. Step 6: Final answer
    x = 8,487.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.