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Finding the Third Proportional to 2,129.41 and 3,232.56

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Solution

The third proportional to 2,129.41 and 3,232.56 is: 4,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.41 : 3,232.56 = 3,232.56 : x
  2. Step 2: Convert to fraction form
    2,129.41/3,232.56 = 3,232.56/x
  3. Step 3: Cross multiply
    2,129.41x = 3,232.56 × 3,232.56
  4. Step 4: Simplify right side
    2,129.41x = 10,449,472.94
  5. Step 5: Solve for x
    x = 10,449,472.94/2,129.41
  6. Step 6: Final answer
    x = 4,907.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.