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Finding the Third Proportional to 37,214.50 and 50,534.75

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Solution

The third proportional to 37,214.50 and 50,534.75 is: 68,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,214.50 : 50,534.75 = 50,534.75 : x
  2. Step 2: Convert to fraction form
    37,214.50/50,534.75 = 50,534.75/x
  3. Step 3: Cross multiply
    37,214.50x = 50,534.75 × 50,534.75
  4. Step 4: Simplify right side
    37,214.50x = 2,553,760,957.56
  5. Step 5: Solve for x
    x = 2,553,760,957.56/37,214.50
  6. Step 6: Final answer
    x = 68,622.74

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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.