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Finding the Third Proportional to 5,449.50 and 7,674.19

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Solution

The third proportional to 5,449.50 and 7,674.19 is: 10,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.50 : 7,674.19 = 7,674.19 : x
  2. Step 2: Convert to fraction form
    5,449.50/7,674.19 = 7,674.19/x
  3. Step 3: Cross multiply
    5,449.50x = 7,674.19 × 7,674.19
  4. Step 4: Simplify right side
    5,449.50x = 58,893,153.79
  5. Step 5: Solve for x
    x = 58,893,153.79/5,449.50
  6. Step 6: Final answer
    x = 10,807.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.