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Finding the Third Proportional to 1,246.32 and 1,955.39

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Solution

The third proportional to 1,246.32 and 1,955.39 is: 3,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.32 : 1,955.39 = 1,955.39 : x
  2. Step 2: Convert to fraction form
    1,246.32/1,955.39 = 1,955.39/x
  3. Step 3: Cross multiply
    1,246.32x = 1,955.39 × 1,955.39
  4. Step 4: Simplify right side
    1,246.32x = 3,823,552.50
  5. Step 5: Solve for x
    x = 3,823,552.50/1,246.32
  6. Step 6: Final answer
    x = 3,067.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.