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Finding the Third Proportional to 1,654.94 and 2,443.88

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Solution

The third proportional to 1,654.94 and 2,443.88 is: 3,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.94 : 2,443.88 = 2,443.88 : x
  2. Step 2: Convert to fraction form
    1,654.94/2,443.88 = 2,443.88/x
  3. Step 3: Cross multiply
    1,654.94x = 2,443.88 × 2,443.88
  4. Step 4: Simplify right side
    1,654.94x = 5,972,525.02
  5. Step 5: Solve for x
    x = 5,972,525.02/1,654.94
  6. Step 6: Final answer
    x = 3,608.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.