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Finding the Third Proportional to 31,407.75 and 55,383.75

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Solution

The third proportional to 31,407.75 and 55,383.75 is: 97,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.75 : 55,383.75 = 55,383.75 : x
  2. Step 2: Convert to fraction form
    31,407.75/55,383.75 = 55,383.75/x
  3. Step 3: Cross multiply
    31,407.75x = 55,383.75 × 55,383.75
  4. Step 4: Simplify right side
    31,407.75x = 3,067,359,764.06
  5. Step 5: Solve for x
    x = 3,067,359,764.06/31,407.75
  6. Step 6: Final answer
    x = 97,662.51

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.