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Finding the Third Proportional to 1,868.91 and 3,100.78

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Solution

The third proportional to 1,868.91 and 3,100.78 is: 5,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.91 : 3,100.78 = 3,100.78 : x
  2. Step 2: Convert to fraction form
    1,868.91/3,100.78 = 3,100.78/x
  3. Step 3: Cross multiply
    1,868.91x = 3,100.78 × 3,100.78
  4. Step 4: Simplify right side
    1,868.91x = 9,614,844.36
  5. Step 5: Solve for x
    x = 9,614,844.36/1,868.91
  6. Step 6: Final answer
    x = 5,144.64

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.