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Finding the Third Proportional to 1,228.92 and 2,848.92

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Solution

The third proportional to 1,228.92 and 2,848.92 is: 6,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.92 : 2,848.92 = 2,848.92 : x
  2. Step 2: Convert to fraction form
    1,228.92/2,848.92 = 2,848.92/x
  3. Step 3: Cross multiply
    1,228.92x = 2,848.92 × 2,848.92
  4. Step 4: Simplify right side
    1,228.92x = 8,116,355.85
  5. Step 5: Solve for x
    x = 8,116,355.85/1,228.92
  6. Step 6: Final answer
    x = 6,604.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.