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Finding the Third Proportional to 3,862.69 and 8,622.07

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Solution

The third proportional to 3,862.69 and 8,622.07 is: 19,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 8,622.07 = 8,622.07 : x
  2. Step 2: Convert to fraction form
    3,862.69/8,622.07 = 8,622.07/x
  3. Step 3: Cross multiply
    3,862.69x = 8,622.07 × 8,622.07
  4. Step 4: Simplify right side
    3,862.69x = 74,340,096.47
  5. Step 5: Solve for x
    x = 74,340,096.47/3,862.69
  6. Step 6: Final answer
    x = 19,245.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.