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Finding the Third Proportional to 1,249.41 and 1,946.20

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Solution

The third proportional to 1,249.41 and 1,946.20 is: 3,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.41 : 1,946.20 = 1,946.20 : x
  2. Step 2: Convert to fraction form
    1,249.41/1,946.20 = 1,946.20/x
  3. Step 3: Cross multiply
    1,249.41x = 1,946.20 × 1,946.20
  4. Step 4: Simplify right side
    1,249.41x = 3,787,675.24
  5. Step 5: Solve for x
    x = 3,787,675.24/1,249.41
  6. Step 6: Final answer
    x = 3,031.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.