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Finding the Third Proportional to 1,671.75 and 2,419.31

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Solution

The third proportional to 1,671.75 and 2,419.31 is: 3,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.75 : 2,419.31 = 2,419.31 : x
  2. Step 2: Convert to fraction form
    1,671.75/2,419.31 = 2,419.31/x
  3. Step 3: Cross multiply
    1,671.75x = 2,419.31 × 2,419.31
  4. Step 4: Simplify right side
    1,671.75x = 5,853,072.97
  5. Step 5: Solve for x
    x = 5,853,072.97/1,671.75
  6. Step 6: Final answer
    x = 3,501.17

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.