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Finding the Third Proportional to 2,296.50 and 4,974.94

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Solution

The third proportional to 2,296.50 and 4,974.94 is: 10,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.50 : 4,974.94 = 4,974.94 : x
  2. Step 2: Convert to fraction form
    2,296.50/4,974.94 = 4,974.94/x
  3. Step 3: Cross multiply
    2,296.50x = 4,974.94 × 4,974.94
  4. Step 4: Simplify right side
    2,296.50x = 24,750,003.13
  5. Step 5: Solve for x
    x = 24,750,003.13/2,296.50
  6. Step 6: Final answer
    x = 10,777.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.