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Finding the Third Proportional to 3,713.75 and 5,570.75

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Solution

The third proportional to 3,713.75 and 5,570.75 is: 8,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.75 : 5,570.75 = 5,570.75 : x
  2. Step 2: Convert to fraction form
    3,713.75/5,570.75 = 5,570.75/x
  3. Step 3: Cross multiply
    3,713.75x = 5,570.75 × 5,570.75
  4. Step 4: Simplify right side
    3,713.75x = 31,033,255.56
  5. Step 5: Solve for x
    x = 31,033,255.56/3,713.75
  6. Step 6: Final answer
    x = 8,356.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.