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Finding the Third Proportional to 3,365.93 and 7,757.02

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Solution

The third proportional to 3,365.93 and 7,757.02 is: 17,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.93 : 7,757.02 = 7,757.02 : x
  2. Step 2: Convert to fraction form
    3,365.93/7,757.02 = 7,757.02/x
  3. Step 3: Cross multiply
    3,365.93x = 7,757.02 × 7,757.02
  4. Step 4: Simplify right side
    3,365.93x = 60,171,291.41
  5. Step 5: Solve for x
    x = 60,171,291.41/3,365.93
  6. Step 6: Final answer
    x = 17,876.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.