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Finding the Third Proportional to 3,416.53 and 5,270.73

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Solution

The third proportional to 3,416.53 and 5,270.73 is: 8,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.53 : 5,270.73 = 5,270.73 : x
  2. Step 2: Convert to fraction form
    3,416.53/5,270.73 = 5,270.73/x
  3. Step 3: Cross multiply
    3,416.53x = 5,270.73 × 5,270.73
  4. Step 4: Simplify right side
    3,416.53x = 27,780,599.67
  5. Step 5: Solve for x
    x = 27,780,599.67/3,416.53
  6. Step 6: Final answer
    x = 8,131.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.