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Finding the Third Proportional to 2,991.94 and 7,774.10

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Solution

The third proportional to 2,991.94 and 7,774.10 is: 20,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.94 : 7,774.10 = 7,774.10 : x
  2. Step 2: Convert to fraction form
    2,991.94/7,774.10 = 7,774.10/x
  3. Step 3: Cross multiply
    2,991.94x = 7,774.10 × 7,774.10
  4. Step 4: Simplify right side
    2,991.94x = 60,436,655.10
  5. Step 5: Solve for x
    x = 60,436,655.10/2,991.94
  6. Step 6: Final answer
    x = 20,199.84

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.