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Finding the Third Proportional to 2,166.28 and 4,481.10

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Solution

The third proportional to 2,166.28 and 4,481.10 is: 9,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.28 : 4,481.10 = 4,481.10 : x
  2. Step 2: Convert to fraction form
    2,166.28/4,481.10 = 4,481.10/x
  3. Step 3: Cross multiply
    2,166.28x = 4,481.10 × 4,481.10
  4. Step 4: Simplify right side
    2,166.28x = 20,080,288.72
  5. Step 5: Solve for x
    x = 20,080,288.72/2,166.28
  6. Step 6: Final answer
    x = 9,269.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.