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Finding the Third Proportional to 1,540.58 and 3,354.54

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Solution

The third proportional to 1,540.58 and 3,354.54 is: 7,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.58 : 3,354.54 = 3,354.54 : x
  2. Step 2: Convert to fraction form
    1,540.58/3,354.54 = 3,354.54/x
  3. Step 3: Cross multiply
    1,540.58x = 3,354.54 × 3,354.54
  4. Step 4: Simplify right side
    1,540.58x = 11,252,932.32
  5. Step 5: Solve for x
    x = 11,252,932.32/1,540.58
  6. Step 6: Final answer
    x = 7,304.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.