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Finding the Third Proportional to 2,069.93 and 3,010.92

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Solution

The third proportional to 2,069.93 and 3,010.92 is: 4,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.93 : 3,010.92 = 3,010.92 : x
  2. Step 2: Convert to fraction form
    2,069.93/3,010.92 = 3,010.92/x
  3. Step 3: Cross multiply
    2,069.93x = 3,010.92 × 3,010.92
  4. Step 4: Simplify right side
    2,069.93x = 9,065,650.54
  5. Step 5: Solve for x
    x = 9,065,650.54/2,069.93
  6. Step 6: Final answer
    x = 4,379.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.