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Finding the Third Proportional to 20,742.75 and 31,168.13

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Solution

The third proportional to 20,742.75 and 31,168.13 is: 46,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.75 : 31,168.13 = 31,168.13 : x
  2. Step 2: Convert to fraction form
    20,742.75/31,168.13 = 31,168.13/x
  3. Step 3: Cross multiply
    20,742.75x = 31,168.13 × 31,168.13
  4. Step 4: Simplify right side
    20,742.75x = 971,452,016.02
  5. Step 5: Solve for x
    x = 971,452,016.02/20,742.75
  6. Step 6: Final answer
    x = 46,833.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.