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Finding the Third Proportional to 2,373.05 and 3,119.13

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Solution

The third proportional to 2,373.05 and 3,119.13 is: 4,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.05 : 3,119.13 = 3,119.13 : x
  2. Step 2: Convert to fraction form
    2,373.05/3,119.13 = 3,119.13/x
  3. Step 3: Cross multiply
    2,373.05x = 3,119.13 × 3,119.13
  4. Step 4: Simplify right side
    2,373.05x = 9,728,989.50
  5. Step 5: Solve for x
    x = 9,728,989.50/2,373.05
  6. Step 6: Final answer
    x = 4,099.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.