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Finding the Third Proportional to 2,991.94 and 3,931.03

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Solution

The third proportional to 2,991.94 and 3,931.03 is: 5,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.94 : 3,931.03 = 3,931.03 : x
  2. Step 2: Convert to fraction form
    2,991.94/3,931.03 = 3,931.03/x
  3. Step 3: Cross multiply
    2,991.94x = 3,931.03 × 3,931.03
  4. Step 4: Simplify right side
    2,991.94x = 15,453,006.69
  5. Step 5: Solve for x
    x = 15,453,006.69/2,991.94
  6. Step 6: Final answer
    x = 5,164.88

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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.