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Finding the Third Proportional to 2,135.53 and 2,832.05

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Solution

The third proportional to 2,135.53 and 2,832.05 is: 3,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.53 : 2,832.05 = 2,832.05 : x
  2. Step 2: Convert to fraction form
    2,135.53/2,832.05 = 2,832.05/x
  3. Step 3: Cross multiply
    2,135.53x = 2,832.05 × 2,832.05
  4. Step 4: Simplify right side
    2,135.53x = 8,020,489.50
  5. Step 5: Solve for x
    x = 8,020,489.50/2,135.53
  6. Step 6: Final answer
    x = 3,755.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.