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Finding the Third Proportional to 37,614.38 and 50,346.56

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Solution

The third proportional to 37,614.38 and 50,346.56 is: 67,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614.38 : 50,346.56 = 50,346.56 : x
  2. Step 2: Convert to fraction form
    37,614.38/50,346.56 = 50,346.56/x
  3. Step 3: Cross multiply
    37,614.38x = 50,346.56 × 50,346.56
  4. Step 4: Simplify right side
    37,614.38x = 2,534,776,355.57
  5. Step 5: Solve for x
    x = 2,534,776,355.57/37,614.38
  6. Step 6: Final answer
    x = 67,388.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.