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Finding the Third Proportional to 45,858.81 and 68,577.38

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Solution

The third proportional to 45,858.81 and 68,577.38 is: 102,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,858.81 : 68,577.38 = 68,577.38 : x
  2. Step 2: Convert to fraction form
    45,858.81/68,577.38 = 68,577.38/x
  3. Step 3: Cross multiply
    45,858.81x = 68,577.38 × 68,577.38
  4. Step 4: Simplify right side
    45,858.81x = 4,702,856,361.89
  5. Step 5: Solve for x
    x = 4,702,856,361.89/45,858.81
  6. Step 6: Final answer
    x = 102,550.77

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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.