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Finding the Third Proportional to 20,584.13 and 31,093.88

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Solution

The third proportional to 20,584.13 and 31,093.88 is: 46,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.13 : 31,093.88 = 31,093.88 : x
  2. Step 2: Convert to fraction form
    20,584.13/31,093.88 = 31,093.88/x
  3. Step 3: Cross multiply
    20,584.13x = 31,093.88 × 31,093.88
  4. Step 4: Simplify right side
    20,584.13x = 966,829,062.52
  5. Step 5: Solve for x
    x = 966,829,062.52/20,584.13
  6. Step 6: Final answer
    x = 46,969.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.