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Finding the Third Proportional to 8,604.67 and 18,243.04

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Solution

The third proportional to 8,604.67 and 18,243.04 is: 38,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.67 : 18,243.04 = 18,243.04 : x
  2. Step 2: Convert to fraction form
    8,604.67/18,243.04 = 18,243.04/x
  3. Step 3: Cross multiply
    8,604.67x = 18,243.04 × 18,243.04
  4. Step 4: Simplify right side
    8,604.67x = 332,808,331.71
  5. Step 5: Solve for x
    x = 332,808,331.71/8,604.67
  6. Step 6: Final answer
    x = 38,677.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.