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Finding the Third Proportional to 5,522.91 and 8,364.80

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Solution

The third proportional to 5,522.91 and 8,364.80 is: 12,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.91 : 8,364.80 = 8,364.80 : x
  2. Step 2: Convert to fraction form
    5,522.91/8,364.80 = 8,364.80/x
  3. Step 3: Cross multiply
    5,522.91x = 8,364.80 × 8,364.80
  4. Step 4: Simplify right side
    5,522.91x = 69,969,826.76
  5. Step 5: Solve for x
    x = 69,969,826.76/5,522.91
  6. Step 6: Final answer
    x = 12,669.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.