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Finding the Third Proportional to 37,274 and 56,504

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Solution

The third proportional to 37,274 and 56,504 is: 85,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,274 : 56,504 = 56,504 : x
  2. Step 2: Convert to fraction form
    37,274/56,504 = 56,504/x
  3. Step 3: Cross multiply
    37,274x = 56,504 × 56,504
  4. Step 4: Simplify right side
    37,274x = 3,192,702,016
  5. Step 5: Solve for x
    x = 3,192,702,016/37,274
  6. Step 6: Final answer
    x = 85,654.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.