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Finding the Third Proportional to 20,827.13 and 32,212.69

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Solution

The third proportional to 20,827.13 and 32,212.69 is: 49,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.13 : 32,212.69 = 32,212.69 : x
  2. Step 2: Convert to fraction form
    20,827.13/32,212.69 = 32,212.69/x
  3. Step 3: Cross multiply
    20,827.13x = 32,212.69 × 32,212.69
  4. Step 4: Simplify right side
    20,827.13x = 1,037,657,235.97
  5. Step 5: Solve for x
    x = 1,037,657,235.97/20,827.13
  6. Step 6: Final answer
    x = 49,822.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.