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Finding the Third Proportional to 1,971.84 and 3,376.27

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Solution

The third proportional to 1,971.84 and 3,376.27 is: 5,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.84 : 3,376.27 = 3,376.27 : x
  2. Step 2: Convert to fraction form
    1,971.84/3,376.27 = 3,376.27/x
  3. Step 3: Cross multiply
    1,971.84x = 3,376.27 × 3,376.27
  4. Step 4: Simplify right side
    1,971.84x = 11,399,169.57
  5. Step 5: Solve for x
    x = 11,399,169.57/1,971.84
  6. Step 6: Final answer
    x = 5,780.97

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.