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Finding the Third Proportional to 8,352.84 and 18,000.84

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Solution

The third proportional to 8,352.84 and 18,000.84 is: 38,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.84 : 18,000.84 = 18,000.84 : x
  2. Step 2: Convert to fraction form
    8,352.84/18,000.84 = 18,000.84/x
  3. Step 3: Cross multiply
    8,352.84x = 18,000.84 × 18,000.84
  4. Step 4: Simplify right side
    8,352.84x = 324,030,375.71
  5. Step 5: Solve for x
    x = 324,030,375.71/8,352.84
  6. Step 6: Final answer
    x = 38,792.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.