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Finding the Third Proportional to 2,054.11 and 4,491.70

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Solution

The third proportional to 2,054.11 and 4,491.70 is: 9,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.11 : 4,491.70 = 4,491.70 : x
  2. Step 2: Convert to fraction form
    2,054.11/4,491.70 = 4,491.70/x
  3. Step 3: Cross multiply
    2,054.11x = 4,491.70 × 4,491.70
  4. Step 4: Simplify right side
    2,054.11x = 20,175,396.96
  5. Step 5: Solve for x
    x = 20,175,396.96/2,054.11
  6. Step 6: Final answer
    x = 9,821.97

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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.