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Finding the Third Proportional to 37,444 and 56,934.75

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Solution

The third proportional to 37,444 and 56,934.75 is: 86,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,444 : 56,934.75 = 56,934.75 : x
  2. Step 2: Convert to fraction form
    37,444/56,934.75 = 56,934.75/x
  3. Step 3: Cross multiply
    37,444x = 56,934.75 × 56,934.75
  4. Step 4: Simplify right side
    37,444x = 3,241,565,757.56
  5. Step 5: Solve for x
    x = 3,241,565,757.56/37,444
  6. Step 6: Final answer
    x = 86,571.03

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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.