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Finding the Third Proportional to 37,837.13 and 52,467.75

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Solution

The third proportional to 37,837.13 and 52,467.75 is: 72,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,837.13 : 52,467.75 = 52,467.75 : x
  2. Step 2: Convert to fraction form
    37,837.13/52,467.75 = 52,467.75/x
  3. Step 3: Cross multiply
    37,837.13x = 52,467.75 × 52,467.75
  4. Step 4: Simplify right side
    37,837.13x = 2,752,864,790.06
  5. Step 5: Solve for x
    x = 2,752,864,790.06/37,837.13
  6. Step 6: Final answer
    x = 72,755.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.