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Finding the Third Proportional to 33,606 and 53,167.50

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Solution

The third proportional to 33,606 and 53,167.50 is: 84,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,606 : 53,167.50 = 53,167.50 : x
  2. Step 2: Convert to fraction form
    33,606/53,167.50 = 53,167.50/x
  3. Step 3: Cross multiply
    33,606x = 53,167.50 × 53,167.50
  4. Step 4: Simplify right side
    33,606x = 2,826,783,056.25
  5. Step 5: Solve for x
    x = 2,826,783,056.25/33,606
  6. Step 6: Final answer
    x = 84,115.43

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.