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Finding the Third Proportional to 37,035 and 52,924.50

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Solution

The third proportional to 37,035 and 52,924.50 is: 75,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,035 : 52,924.50 = 52,924.50 : x
  2. Step 2: Convert to fraction form
    37,035/52,924.50 = 52,924.50/x
  3. Step 3: Cross multiply
    37,035x = 52,924.50 × 52,924.50
  4. Step 4: Simplify right side
    37,035x = 2,801,002,700.25
  5. Step 5: Solve for x
    x = 2,801,002,700.25/37,035
  6. Step 6: Final answer
    x = 75,631.23

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.