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Finding the Third Proportional to 1,498.82 and 3,199.82

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Solution

The third proportional to 1,498.82 and 3,199.82 is: 6,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.82 : 3,199.82 = 3,199.82 : x
  2. Step 2: Convert to fraction form
    1,498.82/3,199.82 = 3,199.82/x
  3. Step 3: Cross multiply
    1,498.82x = 3,199.82 × 3,199.82
  4. Step 4: Simplify right side
    1,498.82x = 10,238,825.03
  5. Step 5: Solve for x
    x = 10,238,825.03/1,498.82
  6. Step 6: Final answer
    x = 6,831.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.