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Finding the Third Proportional to 37,270.13 and 50,164.31

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Solution

The third proportional to 37,270.13 and 50,164.31 is: 67,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,270.13 : 50,164.31 = 50,164.31 : x
  2. Step 2: Convert to fraction form
    37,270.13/50,164.31 = 50,164.31/x
  3. Step 3: Cross multiply
    37,270.13x = 50,164.31 × 50,164.31
  4. Step 4: Simplify right side
    37,270.13x = 2,516,458,248.60
  5. Step 5: Solve for x
    x = 2,516,458,248.60/37,270.13
  6. Step 6: Final answer
    x = 67,519.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.