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Finding the Third Proportional to 1,228.92 and 3,057.12

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Solution

The third proportional to 1,228.92 and 3,057.12 is: 7,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.92 : 3,057.12 = 3,057.12 : x
  2. Step 2: Convert to fraction form
    1,228.92/3,057.12 = 3,057.12/x
  3. Step 3: Cross multiply
    1,228.92x = 3,057.12 × 3,057.12
  4. Step 4: Simplify right side
    1,228.92x = 9,345,965.50
  5. Step 5: Solve for x
    x = 9,345,965.50/1,228.92
  6. Step 6: Final answer
    x = 7,605.01

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.