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Finding the Third Proportional to 4,906.13 and 7,419.94

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Solution

The third proportional to 4,906.13 and 7,419.94 is: 11,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.13 : 7,419.94 = 7,419.94 : x
  2. Step 2: Convert to fraction form
    4,906.13/7,419.94 = 7,419.94/x
  3. Step 3: Cross multiply
    4,906.13x = 7,419.94 × 7,419.94
  4. Step 4: Simplify right side
    4,906.13x = 55,055,472.50
  5. Step 5: Solve for x
    x = 55,055,472.50/4,906.13
  6. Step 6: Final answer
    x = 11,221.78

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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.