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Finding the Third Proportional to 2,017.69 and 4,770.84

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Solution

The third proportional to 2,017.69 and 4,770.84 is: 11,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.69 : 4,770.84 = 4,770.84 : x
  2. Step 2: Convert to fraction form
    2,017.69/4,770.84 = 4,770.84/x
  3. Step 3: Cross multiply
    2,017.69x = 4,770.84 × 4,770.84
  4. Step 4: Simplify right side
    2,017.69x = 22,760,950.09
  5. Step 5: Solve for x
    x = 22,760,950.09/2,017.69
  6. Step 6: Final answer
    x = 11,280.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.