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Finding the Third Proportional to 34,426.50 and 79,858.50

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Solution

The third proportional to 34,426.50 and 79,858.50 is: 185,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,426.50 : 79,858.50 = 79,858.50 : x
  2. Step 2: Convert to fraction form
    34,426.50/79,858.50 = 79,858.50/x
  3. Step 3: Cross multiply
    34,426.50x = 79,858.50 × 79,858.50
  4. Step 4: Simplify right side
    34,426.50x = 6,377,380,022.25
  5. Step 5: Solve for x
    x = 6,377,380,022.25/34,426.50
  6. Step 6: Final answer
    x = 185,246.25

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.