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Finding the Third Proportional to 3,083.91 and 4,770.14

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Solution

The third proportional to 3,083.91 and 4,770.14 is: 7,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.91 : 4,770.14 = 4,770.14 : x
  2. Step 2: Convert to fraction form
    3,083.91/4,770.14 = 4,770.14/x
  3. Step 3: Cross multiply
    3,083.91x = 4,770.14 × 4,770.14
  4. Step 4: Simplify right side
    3,083.91x = 22,754,241.58
  5. Step 5: Solve for x
    x = 22,754,241.58/3,083.91
  6. Step 6: Final answer
    x = 7,378.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.