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Finding the Third Proportional to 3,480.79 and 7,653.55

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Solution

The third proportional to 3,480.79 and 7,653.55 is: 16,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.79 : 7,653.55 = 7,653.55 : x
  2. Step 2: Convert to fraction form
    3,480.79/7,653.55 = 7,653.55/x
  3. Step 3: Cross multiply
    3,480.79x = 7,653.55 × 7,653.55
  4. Step 4: Simplify right side
    3,480.79x = 58,576,839.56
  5. Step 5: Solve for x
    x = 58,576,839.56/3,480.79
  6. Step 6: Final answer
    x = 16,828.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.