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Finding the Third Proportional to 2,110.11 and 4,856.68

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Solution

The third proportional to 2,110.11 and 4,856.68 is: 11,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.11 : 4,856.68 = 4,856.68 : x
  2. Step 2: Convert to fraction form
    2,110.11/4,856.68 = 4,856.68/x
  3. Step 3: Cross multiply
    2,110.11x = 4,856.68 × 4,856.68
  4. Step 4: Simplify right side
    2,110.11x = 23,587,318.62
  5. Step 5: Solve for x
    x = 23,587,318.62/2,110.11
  6. Step 6: Final answer
    x = 11,178.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.