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Finding the Third Proportional to 35,462.81 and 54,910.41

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Solution

The third proportional to 35,462.81 and 54,910.41 is: 85,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,462.81 : 54,910.41 = 54,910.41 : x
  2. Step 2: Convert to fraction form
    35,462.81/54,910.41 = 54,910.41/x
  3. Step 3: Cross multiply
    35,462.81x = 54,910.41 × 54,910.41
  4. Step 4: Simplify right side
    35,462.81x = 3,015,152,714.54
  5. Step 5: Solve for x
    x = 3,015,152,714.54/35,462.81
  6. Step 6: Final answer
    x = 85,022.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.