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Finding the Third Proportional to 2,242.50 and 3,054.75

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Solution

The third proportional to 2,242.50 and 3,054.75 is: 4,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.50 : 3,054.75 = 3,054.75 : x
  2. Step 2: Convert to fraction form
    2,242.50/3,054.75 = 3,054.75/x
  3. Step 3: Cross multiply
    2,242.50x = 3,054.75 × 3,054.75
  4. Step 4: Simplify right side
    2,242.50x = 9,331,497.56
  5. Step 5: Solve for x
    x = 9,331,497.56/2,242.50
  6. Step 6: Final answer
    x = 4,161.20

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.