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Finding the Third Proportional to 7,278.19 and 12,209.06

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Solution

The third proportional to 7,278.19 and 12,209.06 is: 20,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.19 : 12,209.06 = 12,209.06 : x
  2. Step 2: Convert to fraction form
    7,278.19/12,209.06 = 12,209.06/x
  3. Step 3: Cross multiply
    7,278.19x = 12,209.06 × 12,209.06
  4. Step 4: Simplify right side
    7,278.19x = 149,061,207.13
  5. Step 5: Solve for x
    x = 149,061,207.13/7,278.19
  6. Step 6: Final answer
    x = 20,480.54

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.