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Finding the Third Proportional to 2,167.75 and 3,203.88

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Solution

The third proportional to 2,167.75 and 3,203.88 is: 4,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.75 : 3,203.88 = 3,203.88 : x
  2. Step 2: Convert to fraction form
    2,167.75/3,203.88 = 3,203.88/x
  3. Step 3: Cross multiply
    2,167.75x = 3,203.88 × 3,203.88
  4. Step 4: Simplify right side
    2,167.75x = 10,264,815.02
  5. Step 5: Solve for x
    x = 10,264,815.02/2,167.75
  6. Step 6: Final answer
    x = 4,735.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.