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Finding the Third Proportional to 37,474.50 and 55,644

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Solution

The third proportional to 37,474.50 and 55,644 is: 82,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,474.50 : 55,644 = 55,644 : x
  2. Step 2: Convert to fraction form
    37,474.50/55,644 = 55,644/x
  3. Step 3: Cross multiply
    37,474.50x = 55,644 × 55,644
  4. Step 4: Simplify right side
    37,474.50x = 3,096,254,736
  5. Step 5: Solve for x
    x = 3,096,254,736/37,474.50
  6. Step 6: Final answer
    x = 82,622.98

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.