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Finding the Third Proportional to 925.24 and 1,954.44

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Solution

The third proportional to 925.24 and 1,954.44 is: 4,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.24 : 1,954.44 = 1,954.44 : x
  2. Step 2: Convert to fraction form
    925.24/1,954.44 = 1,954.44/x
  3. Step 3: Cross multiply
    925.24x = 1,954.44 × 1,954.44
  4. Step 4: Simplify right side
    925.24x = 3,819,841.21
  5. Step 5: Solve for x
    x = 3,819,841.21/925.24
  6. Step 6: Final answer
    x = 4,128.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.