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Finding the Third Proportional to 3,862.69 and 5,246.44

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Solution

The third proportional to 3,862.69 and 5,246.44 is: 7,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 5,246.44 = 5,246.44 : x
  2. Step 2: Convert to fraction form
    3,862.69/5,246.44 = 5,246.44/x
  3. Step 3: Cross multiply
    3,862.69x = 5,246.44 × 5,246.44
  4. Step 4: Simplify right side
    3,862.69x = 27,525,106.44
  5. Step 5: Solve for x
    x = 27,525,106.44/3,862.69
  6. Step 6: Final answer
    x = 7,125.90

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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.