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Finding the Third Proportional to 37,282.50 and 56,467

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Solution

The third proportional to 37,282.50 and 56,467 is: 85,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,282.50 : 56,467 = 56,467 : x
  2. Step 2: Convert to fraction form
    37,282.50/56,467 = 56,467/x
  3. Step 3: Cross multiply
    37,282.50x = 56,467 × 56,467
  4. Step 4: Simplify right side
    37,282.50x = 3,188,522,089
  5. Step 5: Solve for x
    x = 3,188,522,089/37,282.50
  6. Step 6: Final answer
    x = 85,523.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.