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Finding the Third Proportional to 20,832.19 and 32,091.19

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Solution

The third proportional to 20,832.19 and 32,091.19 is: 49,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832.19 : 32,091.19 = 32,091.19 : x
  2. Step 2: Convert to fraction form
    20,832.19/32,091.19 = 32,091.19/x
  3. Step 3: Cross multiply
    20,832.19x = 32,091.19 × 32,091.19
  4. Step 4: Simplify right side
    20,832.19x = 1,029,844,315.16
  5. Step 5: Solve for x
    x = 1,029,844,315.16/20,832.19
  6. Step 6: Final answer
    x = 49,435.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.