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Finding the Third Proportional to 37,587 and 50,305.50

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Solution

The third proportional to 37,587 and 50,305.50 is: 67,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,587 : 50,305.50 = 50,305.50 : x
  2. Step 2: Convert to fraction form
    37,587/50,305.50 = 50,305.50/x
  3. Step 3: Cross multiply
    37,587x = 50,305.50 × 50,305.50
  4. Step 4: Simplify right side
    37,587x = 2,530,643,330.25
  5. Step 5: Solve for x
    x = 2,530,643,330.25/37,587
  6. Step 6: Final answer
    x = 67,327.62

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