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Finding the Third Proportional to 6,571.97 and 9,926.72

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Solution

The third proportional to 6,571.97 and 9,926.72 is: 14,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.97 : 9,926.72 = 9,926.72 : x
  2. Step 2: Convert to fraction form
    6,571.97/9,926.72 = 9,926.72/x
  3. Step 3: Cross multiply
    6,571.97x = 9,926.72 × 9,926.72
  4. Step 4: Simplify right side
    6,571.97x = 98,539,745.14
  5. Step 5: Solve for x
    x = 98,539,745.14/6,571.97
  6. Step 6: Final answer
    x = 14,993.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.