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Finding the Third Proportional to 2,283.75 and 5,043.38

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Solution

The third proportional to 2,283.75 and 5,043.38 is: 11,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.75 : 5,043.38 = 5,043.38 : x
  2. Step 2: Convert to fraction form
    2,283.75/5,043.38 = 5,043.38/x
  3. Step 3: Cross multiply
    2,283.75x = 5,043.38 × 5,043.38
  4. Step 4: Simplify right side
    2,283.75x = 25,435,631.39
  5. Step 5: Solve for x
    x = 25,435,631.39/2,283.75
  6. Step 6: Final answer
    x = 11,137.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.