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Finding the Third Proportional to 2,081.14 and 4,427.14

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Solution

The third proportional to 2,081.14 and 4,427.14 is: 9,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.14 : 4,427.14 = 4,427.14 : x
  2. Step 2: Convert to fraction form
    2,081.14/4,427.14 = 4,427.14/x
  3. Step 3: Cross multiply
    2,081.14x = 4,427.14 × 4,427.14
  4. Step 4: Simplify right side
    2,081.14x = 19,599,574.11
  5. Step 5: Solve for x
    x = 19,599,574.11/2,081.14
  6. Step 6: Final answer
    x = 9,417.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.