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Finding the Third Proportional to 892.38 and 1,949.93

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Solution

The third proportional to 892.38 and 1,949.93 is: 4,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.38 : 1,949.93 = 1,949.93 : x
  2. Step 2: Convert to fraction form
    892.38/1,949.93 = 1,949.93/x
  3. Step 3: Cross multiply
    892.38x = 1,949.93 × 1,949.93
  4. Step 4: Simplify right side
    892.38x = 3,802,237.21
  5. Step 5: Solve for x
    x = 3,802,237.21/892.38
  6. Step 6: Final answer
    x = 4,260.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.