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Finding the Third Proportional to 4,593.38 and 6,878.25

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Solution

The third proportional to 4,593.38 and 6,878.25 is: 10,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.38 : 6,878.25 = 6,878.25 : x
  2. Step 2: Convert to fraction form
    4,593.38/6,878.25 = 6,878.25/x
  3. Step 3: Cross multiply
    4,593.38x = 6,878.25 × 6,878.25
  4. Step 4: Simplify right side
    4,593.38x = 47,310,323.06
  5. Step 5: Solve for x
    x = 47,310,323.06/4,593.38
  6. Step 6: Final answer
    x = 10,299.69

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