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Finding the Third Proportional to 27,337.50 and 41,735.25

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Solution

The third proportional to 27,337.50 and 41,735.25 is: 63,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,337.50 : 41,735.25 = 41,735.25 : x
  2. Step 2: Convert to fraction form
    27,337.50/41,735.25 = 41,735.25/x
  3. Step 3: Cross multiply
    27,337.50x = 41,735.25 × 41,735.25
  4. Step 4: Simplify right side
    27,337.50x = 1,741,831,092.56
  5. Step 5: Solve for x
    x = 1,741,831,092.56/27,337.50
  6. Step 6: Final answer
    x = 63,715.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.