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Finding the Third Proportional to 20,827.13 and 31,645.69

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Solution

The third proportional to 20,827.13 and 31,645.69 is: 48,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.13 : 31,645.69 = 31,645.69 : x
  2. Step 2: Convert to fraction form
    20,827.13/31,645.69 = 31,645.69/x
  3. Step 3: Cross multiply
    20,827.13x = 31,645.69 × 31,645.69
  4. Step 4: Simplify right side
    20,827.13x = 1,001,449,537.35
  5. Step 5: Solve for x
    x = 1,001,449,537.35/20,827.13
  6. Step 6: Final answer
    x = 48,083.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.