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Finding the Third Proportional to 3,542.06 and 5,181.47

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Solution

The third proportional to 3,542.06 and 5,181.47 is: 7,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.06 : 5,181.47 = 5,181.47 : x
  2. Step 2: Convert to fraction form
    3,542.06/5,181.47 = 5,181.47/x
  3. Step 3: Cross multiply
    3,542.06x = 5,181.47 × 5,181.47
  4. Step 4: Simplify right side
    3,542.06x = 26,847,618.41
  5. Step 5: Solve for x
    x = 26,847,618.41/3,542.06
  6. Step 6: Final answer
    x = 7,579.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.