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Finding the Third Proportional to 5,760.50 and 8,326.88

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Solution

The third proportional to 5,760.50 and 8,326.88 is: 12,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.50 : 8,326.88 = 8,326.88 : x
  2. Step 2: Convert to fraction form
    5,760.50/8,326.88 = 8,326.88/x
  3. Step 3: Cross multiply
    5,760.50x = 8,326.88 × 8,326.88
  4. Step 4: Simplify right side
    5,760.50x = 69,336,847.27
  5. Step 5: Solve for x
    x = 69,336,847.27/5,760.50
  6. Step 6: Final answer
    x = 12,036.60

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.