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Finding the Third Proportional to 1,287.56 and 3,057.94

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Solution

The third proportional to 1,287.56 and 3,057.94 is: 7,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.56 : 3,057.94 = 3,057.94 : x
  2. Step 2: Convert to fraction form
    1,287.56/3,057.94 = 3,057.94/x
  3. Step 3: Cross multiply
    1,287.56x = 3,057.94 × 3,057.94
  4. Step 4: Simplify right side
    1,287.56x = 9,350,981.75
  5. Step 5: Solve for x
    x = 9,350,981.75/1,287.56
  6. Step 6: Final answer
    x = 7,262.55

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.