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Finding the Third Proportional to 2,382.75 and 3,342.94

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Solution

The third proportional to 2,382.75 and 3,342.94 is: 4,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.75 : 3,342.94 = 3,342.94 : x
  2. Step 2: Convert to fraction form
    2,382.75/3,342.94 = 3,342.94/x
  3. Step 3: Cross multiply
    2,382.75x = 3,342.94 × 3,342.94
  4. Step 4: Simplify right side
    2,382.75x = 11,175,231.13
  5. Step 5: Solve for x
    x = 11,175,231.13/2,382.75
  6. Step 6: Final answer
    x = 4,690.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.