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Finding the Third Proportional to 8,219.81 and 12,329.72

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Solution

The third proportional to 8,219.81 and 12,329.72 is: 18,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.81 : 12,329.72 = 12,329.72 : x
  2. Step 2: Convert to fraction form
    8,219.81/12,329.72 = 12,329.72/x
  3. Step 3: Cross multiply
    8,219.81x = 12,329.72 × 12,329.72
  4. Step 4: Simplify right side
    8,219.81x = 152,021,964.45
  5. Step 5: Solve for x
    x = 152,021,964.45/8,219.81
  6. Step 6: Final answer
    x = 18,494.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.