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Finding the Third Proportional to 2,543.91 and 6,028.17

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Solution

The third proportional to 2,543.91 and 6,028.17 is: 14,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.91 : 6,028.17 = 6,028.17 : x
  2. Step 2: Convert to fraction form
    2,543.91/6,028.17 = 6,028.17/x
  3. Step 3: Cross multiply
    2,543.91x = 6,028.17 × 6,028.17
  4. Step 4: Simplify right side
    2,543.91x = 36,338,856.15
  5. Step 5: Solve for x
    x = 36,338,856.15/2,543.91
  6. Step 6: Final answer
    x = 14,284.67

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.