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Finding the Third Proportional to 3,324.16 and 7,240.64

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Solution

The third proportional to 3,324.16 and 7,240.64 is: 15,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.16 : 7,240.64 = 7,240.64 : x
  2. Step 2: Convert to fraction form
    3,324.16/7,240.64 = 7,240.64/x
  3. Step 3: Cross multiply
    3,324.16x = 7,240.64 × 7,240.64
  4. Step 4: Simplify right side
    3,324.16x = 52,426,876.66
  5. Step 5: Solve for x
    x = 52,426,876.66/3,324.16
  6. Step 6: Final answer
    x = 15,771.45

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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.