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Finding the Third Proportional to 6,177.99 and 9,822.99

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Solution

The third proportional to 6,177.99 and 9,822.99 is: 15,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.99 : 9,822.99 = 9,822.99 : x
  2. Step 2: Convert to fraction form
    6,177.99/9,822.99 = 9,822.99/x
  3. Step 3: Cross multiply
    6,177.99x = 9,822.99 × 9,822.99
  4. Step 4: Simplify right side
    6,177.99x = 96,491,137.14
  5. Step 5: Solve for x
    x = 96,491,137.14/6,177.99
  6. Step 6: Final answer
    x = 15,618.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.