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Finding the Third Proportional to 1,254.75 and 3,024.38

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Solution

The third proportional to 1,254.75 and 3,024.38 is: 7,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.75 : 3,024.38 = 3,024.38 : x
  2. Step 2: Convert to fraction form
    1,254.75/3,024.38 = 3,024.38/x
  3. Step 3: Cross multiply
    1,254.75x = 3,024.38 × 3,024.38
  4. Step 4: Simplify right side
    1,254.75x = 9,146,844.14
  5. Step 5: Solve for x
    x = 9,146,844.14/1,254.75
  6. Step 6: Final answer
    x = 7,289.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.