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Finding the Third Proportional to 2,371.15 and 4,671.11

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Solution

The third proportional to 2,371.15 and 4,671.11 is: 9,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.15 : 4,671.11 = 4,671.11 : x
  2. Step 2: Convert to fraction form
    2,371.15/4,671.11 = 4,671.11/x
  3. Step 3: Cross multiply
    2,371.15x = 4,671.11 × 4,671.11
  4. Step 4: Simplify right side
    2,371.15x = 21,819,226.30
  5. Step 5: Solve for x
    x = 21,819,226.30/2,371.15
  6. Step 6: Final answer
    x = 9,201.97

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.