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Finding the Third Proportional to 2,022.47 and 2,698.95

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Solution

The third proportional to 2,022.47 and 2,698.95 is: 3,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.47 : 2,698.95 = 2,698.95 : x
  2. Step 2: Convert to fraction form
    2,022.47/2,698.95 = 2,698.95/x
  3. Step 3: Cross multiply
    2,022.47x = 2,698.95 × 2,698.95
  4. Step 4: Simplify right side
    2,022.47x = 7,284,305.80
  5. Step 5: Solve for x
    x = 7,284,305.80/2,022.47
  6. Step 6: Final answer
    x = 3,601.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.