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Finding the Third Proportional to 20,179.13 and 31,827.94

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Solution

The third proportional to 20,179.13 and 31,827.94 is: 50,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.13 : 31,827.94 = 31,827.94 : x
  2. Step 2: Convert to fraction form
    20,179.13/31,827.94 = 31,827.94/x
  3. Step 3: Cross multiply
    20,179.13x = 31,827.94 × 31,827.94
  4. Step 4: Simplify right side
    20,179.13x = 1,013,017,605.50
  5. Step 5: Solve for x
    x = 1,013,017,605.50/20,179.13
  6. Step 6: Final answer
    x = 50,201.27

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.