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Finding the Third Proportional to 3,237.19 and 3,571.31

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Solution

The third proportional to 3,237.19 and 3,571.31 is: 3,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.19 : 3,571.31 = 3,571.31 : x
  2. Step 2: Convert to fraction form
    3,237.19/3,571.31 = 3,571.31/x
  3. Step 3: Cross multiply
    3,237.19x = 3,571.31 × 3,571.31
  4. Step 4: Simplify right side
    3,237.19x = 12,754,272.97
  5. Step 5: Solve for x
    x = 12,754,272.97/3,237.19
  6. Step 6: Final answer
    x = 3,939.92

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.