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Finding the Third Proportional to 4,098.94 and 6,182.44

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Solution

The third proportional to 4,098.94 and 6,182.44 is: 9,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.94 : 6,182.44 = 6,182.44 : x
  2. Step 2: Convert to fraction form
    4,098.94/6,182.44 = 6,182.44/x
  3. Step 3: Cross multiply
    4,098.94x = 6,182.44 × 6,182.44
  4. Step 4: Simplify right side
    4,098.94x = 38,222,533.44
  5. Step 5: Solve for x
    x = 38,222,533.44/4,098.94
  6. Step 6: Final answer
    x = 9,324.99

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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.