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Finding the Third Proportional to 37,057.50 and 50,402.25

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Solution

The third proportional to 37,057.50 and 50,402.25 is: 68,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,057.50 : 50,402.25 = 50,402.25 : x
  2. Step 2: Convert to fraction form
    37,057.50/50,402.25 = 50,402.25/x
  3. Step 3: Cross multiply
    37,057.50x = 50,402.25 × 50,402.25
  4. Step 4: Simplify right side
    37,057.50x = 2,540,386,805.06
  5. Step 5: Solve for x
    x = 2,540,386,805.06/37,057.50
  6. Step 6: Final answer
    x = 68,552.57

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.