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Finding the Third Proportional to 2,048.41 and 3,149.51

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Solution

The third proportional to 2,048.41 and 3,149.51 is: 4,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.41 : 3,149.51 = 3,149.51 : x
  2. Step 2: Convert to fraction form
    2,048.41/3,149.51 = 3,149.51/x
  3. Step 3: Cross multiply
    2,048.41x = 3,149.51 × 3,149.51
  4. Step 4: Simplify right side
    2,048.41x = 9,919,399.46
  5. Step 5: Solve for x
    x = 9,919,399.46/2,048.41
  6. Step 6: Final answer
    x = 4,842.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.