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Finding the Third Proportional to 2,005.25 and 2,991.25

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Solution

The third proportional to 2,005.25 and 2,991.25 is: 4,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.25 : 2,991.25 = 2,991.25 : x
  2. Step 2: Convert to fraction form
    2,005.25/2,991.25 = 2,991.25/x
  3. Step 3: Cross multiply
    2,005.25x = 2,991.25 × 2,991.25
  4. Step 4: Simplify right side
    2,005.25x = 8,947,576.56
  5. Step 5: Solve for x
    x = 8,947,576.56/2,005.25
  6. Step 6: Final answer
    x = 4,462.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.