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Finding the Third Proportional to 1,228.92 and 2,562.26

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Solution

The third proportional to 1,228.92 and 2,562.26 is: 5,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.92 : 2,562.26 = 2,562.26 : x
  2. Step 2: Convert to fraction form
    1,228.92/2,562.26 = 2,562.26/x
  3. Step 3: Cross multiply
    1,228.92x = 2,562.26 × 2,562.26
  4. Step 4: Simplify right side
    1,228.92x = 6,565,165.10
  5. Step 5: Solve for x
    x = 6,565,165.10/1,228.92
  6. Step 6: Final answer
    x = 5,342.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.