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Finding the Third Proportional to 3,152.67 and 6,919.17

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Solution

The third proportional to 3,152.67 and 6,919.17 is: 15,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.67 : 6,919.17 = 6,919.17 : x
  2. Step 2: Convert to fraction form
    3,152.67/6,919.17 = 6,919.17/x
  3. Step 3: Cross multiply
    3,152.67x = 6,919.17 × 6,919.17
  4. Step 4: Simplify right side
    3,152.67x = 47,874,939.44
  5. Step 5: Solve for x
    x = 47,874,939.44/3,152.67
  6. Step 6: Final answer
    x = 15,185.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.