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Finding the Third Proportional to 5,048.44 and 10,648.69

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Solution

The third proportional to 5,048.44 and 10,648.69 is: 22,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.44 : 10,648.69 = 10,648.69 : x
  2. Step 2: Convert to fraction form
    5,048.44/10,648.69 = 10,648.69/x
  3. Step 3: Cross multiply
    5,048.44x = 10,648.69 × 10,648.69
  4. Step 4: Simplify right side
    5,048.44x = 113,394,545.47
  5. Step 5: Solve for x
    x = 113,394,545.47/5,048.44
  6. Step 6: Final answer
    x = 22,461.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.