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Finding the Third Proportional to 1,228.92 and 2,654.02

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Solution

The third proportional to 1,228.92 and 2,654.02 is: 5,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.92 : 2,654.02 = 2,654.02 : x
  2. Step 2: Convert to fraction form
    1,228.92/2,654.02 = 2,654.02/x
  3. Step 3: Cross multiply
    1,228.92x = 2,654.02 × 2,654.02
  4. Step 4: Simplify right side
    1,228.92x = 7,043,798.94
  5. Step 5: Solve for x
    x = 7,043,798.94/1,228.92
  6. Step 6: Final answer
    x = 5,731.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.