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Finding the Third Proportional to 3,245 and 7,220.13

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Solution

The third proportional to 3,245 and 7,220.13 is: 16,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245 : 7,220.13 = 7,220.13 : x
  2. Step 2: Convert to fraction form
    3,245/7,220.13 = 7,220.13/x
  3. Step 3: Cross multiply
    3,245x = 7,220.13 × 7,220.13
  4. Step 4: Simplify right side
    3,245x = 52,130,205.02
  5. Step 5: Solve for x
    x = 52,130,205.02/3,245
  6. Step 6: Final answer
    x = 16,064.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.