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Finding the Third Proportional to 949.13 and 1,924.13

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Solution

The third proportional to 949.13 and 1,924.13 is: 3,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.13 : 1,924.13 = 1,924.13 : x
  2. Step 2: Convert to fraction form
    949.13/1,924.13 = 1,924.13/x
  3. Step 3: Cross multiply
    949.13x = 1,924.13 × 1,924.13
  4. Step 4: Simplify right side
    949.13x = 3,702,257.02
  5. Step 5: Solve for x
    x = 3,702,257.02/949.13
  6. Step 6: Final answer
    x = 3,900.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.