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Finding the Third Proportional to 5,630.31 and 8,275.94

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Solution

The third proportional to 5,630.31 and 8,275.94 is: 12,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.31 : 8,275.94 = 8,275.94 : x
  2. Step 2: Convert to fraction form
    5,630.31/8,275.94 = 8,275.94/x
  3. Step 3: Cross multiply
    5,630.31x = 8,275.94 × 8,275.94
  4. Step 4: Simplify right side
    5,630.31x = 68,491,141.50
  5. Step 5: Solve for x
    x = 68,491,141.50/5,630.31
  6. Step 6: Final answer
    x = 12,164.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.