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Finding the Third Proportional to 1,538.44 and 3,335.06

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Solution

The third proportional to 1,538.44 and 3,335.06 is: 7,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.44 : 3,335.06 = 3,335.06 : x
  2. Step 2: Convert to fraction form
    1,538.44/3,335.06 = 3,335.06/x
  3. Step 3: Cross multiply
    1,538.44x = 3,335.06 × 3,335.06
  4. Step 4: Simplify right side
    1,538.44x = 11,122,641.88
  5. Step 5: Solve for x
    x = 11,122,641.88/1,538.44
  6. Step 6: Final answer
    x = 7,229.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.