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Finding the Third Proportional to 5,133.38 and 6,677.44

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Solution

The third proportional to 5,133.38 and 6,677.44 is: 8,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.38 : 6,677.44 = 6,677.44 : x
  2. Step 2: Convert to fraction form
    5,133.38/6,677.44 = 6,677.44/x
  3. Step 3: Cross multiply
    5,133.38x = 6,677.44 × 6,677.44
  4. Step 4: Simplify right side
    5,133.38x = 44,588,171.57
  5. Step 5: Solve for x
    x = 44,588,171.57/5,133.38
  6. Step 6: Final answer
    x = 8,685.94

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.