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Finding the Third Proportional to 5,539.50 and 8,313.19

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Solution

The third proportional to 5,539.50 and 8,313.19 is: 12,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.50 : 8,313.19 = 8,313.19 : x
  2. Step 2: Convert to fraction form
    5,539.50/8,313.19 = 8,313.19/x
  3. Step 3: Cross multiply
    5,539.50x = 8,313.19 × 8,313.19
  4. Step 4: Simplify right side
    5,539.50x = 69,109,086.41
  5. Step 5: Solve for x
    x = 69,109,086.41/5,539.50
  6. Step 6: Final answer
    x = 12,475.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.