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Finding the Third Proportional to 2,070.75 and 4,212.75

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Solution

The third proportional to 2,070.75 and 4,212.75 is: 8,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.75 : 4,212.75 = 4,212.75 : x
  2. Step 2: Convert to fraction form
    2,070.75/4,212.75 = 4,212.75/x
  3. Step 3: Cross multiply
    2,070.75x = 4,212.75 × 4,212.75
  4. Step 4: Simplify right side
    2,070.75x = 17,747,262.56
  5. Step 5: Solve for x
    x = 17,747,262.56/2,070.75
  6. Step 6: Final answer
    x = 8,570.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.