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Finding the Third Proportional to 2,013.75 and 3,048.47

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Solution

The third proportional to 2,013.75 and 3,048.47 is: 4,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.75 : 3,048.47 = 3,048.47 : x
  2. Step 2: Convert to fraction form
    2,013.75/3,048.47 = 3,048.47/x
  3. Step 3: Cross multiply
    2,013.75x = 3,048.47 × 3,048.47
  4. Step 4: Simplify right side
    2,013.75x = 9,293,161.72
  5. Step 5: Solve for x
    x = 9,293,161.72/2,013.75
  6. Step 6: Final answer
    x = 4,614.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.