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Finding the Third Proportional to 6,648.33 and 14,481.28

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Solution

The third proportional to 6,648.33 and 14,481.28 is: 31,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.33 : 14,481.28 = 14,481.28 : x
  2. Step 2: Convert to fraction form
    6,648.33/14,481.28 = 14,481.28/x
  3. Step 3: Cross multiply
    6,648.33x = 14,481.28 × 14,481.28
  4. Step 4: Simplify right side
    6,648.33x = 209,707,506.64
  5. Step 5: Solve for x
    x = 209,707,506.64/6,648.33
  6. Step 6: Final answer
    x = 31,542.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.