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Finding the Third Proportional to 2,541.75 and 3,003.38

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Solution

The third proportional to 2,541.75 and 3,003.38 is: 3,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.75 : 3,003.38 = 3,003.38 : x
  2. Step 2: Convert to fraction form
    2,541.75/3,003.38 = 3,003.38/x
  3. Step 3: Cross multiply
    2,541.75x = 3,003.38 × 3,003.38
  4. Step 4: Simplify right side
    2,541.75x = 9,020,261.39
  5. Step 5: Solve for x
    x = 9,020,261.39/2,541.75
  6. Step 6: Final answer
    x = 3,548.84

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.