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Finding the Third Proportional to 3,199.82 and 4,932.14

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Solution

The third proportional to 3,199.82 and 4,932.14 is: 7,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.82 : 4,932.14 = 4,932.14 : x
  2. Step 2: Convert to fraction form
    3,199.82/4,932.14 = 4,932.14/x
  3. Step 3: Cross multiply
    3,199.82x = 4,932.14 × 4,932.14
  4. Step 4: Simplify right side
    3,199.82x = 24,326,011.14
  5. Step 5: Solve for x
    x = 24,326,011.14/3,199.82
  6. Step 6: Final answer
    x = 7,602.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.