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Finding the Third Proportional to 3,974.48 and 8,642.53

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Solution

The third proportional to 3,974.48 and 8,642.53 is: 18,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.48 : 8,642.53 = 8,642.53 : x
  2. Step 2: Convert to fraction form
    3,974.48/8,642.53 = 8,642.53/x
  3. Step 3: Cross multiply
    3,974.48x = 8,642.53 × 8,642.53
  4. Step 4: Simplify right side
    3,974.48x = 74,693,346.41
  5. Step 5: Solve for x
    x = 74,693,346.41/3,974.48
  6. Step 6: Final answer
    x = 18,793.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.