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Finding the Third Proportional to 2,991.94 and 7,362.14

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Solution

The third proportional to 2,991.94 and 7,362.14 is: 18,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.94 : 7,362.14 = 7,362.14 : x
  2. Step 2: Convert to fraction form
    2,991.94/7,362.14 = 7,362.14/x
  3. Step 3: Cross multiply
    2,991.94x = 7,362.14 × 7,362.14
  4. Step 4: Simplify right side
    2,991.94x = 54,201,114.58
  5. Step 5: Solve for x
    x = 54,201,114.58/2,991.94
  6. Step 6: Final answer
    x = 18,115.72

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.