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Finding the Third Proportional to 3,736.13 and 5,860.48

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Solution

The third proportional to 3,736.13 and 5,860.48 is: 9,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.13 : 5,860.48 = 5,860.48 : x
  2. Step 2: Convert to fraction form
    3,736.13/5,860.48 = 5,860.48/x
  3. Step 3: Cross multiply
    3,736.13x = 5,860.48 × 5,860.48
  4. Step 4: Simplify right side
    3,736.13x = 34,345,185.54
  5. Step 5: Solve for x
    x = 34,345,185.54/3,736.13
  6. Step 6: Final answer
    x = 9,192.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.