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Finding the Third Proportional to 2,132.44 and 3,200.34

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Solution

The third proportional to 2,132.44 and 3,200.34 is: 4,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.44 : 3,200.34 = 3,200.34 : x
  2. Step 2: Convert to fraction form
    2,132.44/3,200.34 = 3,200.34/x
  3. Step 3: Cross multiply
    2,132.44x = 3,200.34 × 3,200.34
  4. Step 4: Simplify right side
    2,132.44x = 10,242,200.12
  5. Step 5: Solve for x
    x = 10,242,200.12/2,132.44
  6. Step 6: Final answer
    x = 4,803.05

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