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Finding the Third Proportional to 2,952.07 and 8,020.90

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Solution

The third proportional to 2,952.07 and 8,020.90 is: 21,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.07 : 8,020.90 = 8,020.90 : x
  2. Step 2: Convert to fraction form
    2,952.07/8,020.90 = 8,020.90/x
  3. Step 3: Cross multiply
    2,952.07x = 8,020.90 × 8,020.90
  4. Step 4: Simplify right side
    2,952.07x = 64,334,811.74
  5. Step 5: Solve for x
    x = 64,334,811.74/2,952.07
  6. Step 6: Final answer
    x = 21,793.12

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.