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Finding the Third Proportional to 1,336.08 and 1,965.52

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Solution

The third proportional to 1,336.08 and 1,965.52 is: 2,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.08 : 1,965.52 = 1,965.52 : x
  2. Step 2: Convert to fraction form
    1,336.08/1,965.52 = 1,965.52/x
  3. Step 3: Cross multiply
    1,336.08x = 1,965.52 × 1,965.52
  4. Step 4: Simplify right side
    1,336.08x = 3,863,251.67
  5. Step 5: Solve for x
    x = 3,863,251.67/1,336.08
  6. Step 6: Final answer
    x = 2,891.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.