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Finding the Third Proportional to 5,302.41 and 8,226.84

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Solution

The third proportional to 5,302.41 and 8,226.84 is: 12,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.41 : 8,226.84 = 8,226.84 : x
  2. Step 2: Convert to fraction form
    5,302.41/8,226.84 = 8,226.84/x
  3. Step 3: Cross multiply
    5,302.41x = 8,226.84 × 8,226.84
  4. Step 4: Simplify right side
    5,302.41x = 67,680,958.09
  5. Step 5: Solve for x
    x = 67,680,958.09/5,302.41
  6. Step 6: Final answer
    x = 12,764.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.