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Finding the Third Proportional to 3,048.75 and 4,456.97

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Solution

The third proportional to 3,048.75 and 4,456.97 is: 6,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.75 : 4,456.97 = 4,456.97 : x
  2. Step 2: Convert to fraction form
    3,048.75/4,456.97 = 4,456.97/x
  3. Step 3: Cross multiply
    3,048.75x = 4,456.97 × 4,456.97
  4. Step 4: Simplify right side
    3,048.75x = 19,864,570.44
  5. Step 5: Solve for x
    x = 19,864,570.44/3,048.75
  6. Step 6: Final answer
    x = 6,515.64

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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.