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Finding the Third Proportional to 5,811.75 and 6,348.38

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Solution

The third proportional to 5,811.75 and 6,348.38 is: 6,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.75 : 6,348.38 = 6,348.38 : x
  2. Step 2: Convert to fraction form
    5,811.75/6,348.38 = 6,348.38/x
  3. Step 3: Cross multiply
    5,811.75x = 6,348.38 × 6,348.38
  4. Step 4: Simplify right side
    5,811.75x = 40,301,865.14
  5. Step 5: Solve for x
    x = 40,301,865.14/5,811.75
  6. Step 6: Final answer
    x = 6,934.55

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.