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Finding the Third Proportional to 5,196.38 and 6,863.63

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Solution

The third proportional to 5,196.38 and 6,863.63 is: 9,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.38 : 6,863.63 = 6,863.63 : x
  2. Step 2: Convert to fraction form
    5,196.38/6,863.63 = 6,863.63/x
  3. Step 3: Cross multiply
    5,196.38x = 6,863.63 × 6,863.63
  4. Step 4: Simplify right side
    5,196.38x = 47,109,348.14
  5. Step 5: Solve for x
    x = 47,109,348.14/5,196.38
  6. Step 6: Final answer
    x = 9,065.81

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.