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Finding the Third Proportional to 2,099.95 and 3,089.11

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Solution

The third proportional to 2,099.95 and 3,089.11 is: 4,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.95 : 3,089.11 = 3,089.11 : x
  2. Step 2: Convert to fraction form
    2,099.95/3,089.11 = 3,089.11/x
  3. Step 3: Cross multiply
    2,099.95x = 3,089.11 × 3,089.11
  4. Step 4: Simplify right side
    2,099.95x = 9,542,596.73
  5. Step 5: Solve for x
    x = 9,542,596.73/2,099.95
  6. Step 6: Final answer
    x = 4,544.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.