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Finding the Third Proportional to 37,622 and 58,442

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Solution

The third proportional to 37,622 and 58,442 is: 90,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,622 : 58,442 = 58,442 : x
  2. Step 2: Convert to fraction form
    37,622/58,442 = 58,442/x
  3. Step 3: Cross multiply
    37,622x = 58,442 × 58,442
  4. Step 4: Simplify right side
    37,622x = 3,415,467,364
  5. Step 5: Solve for x
    x = 3,415,467,364/37,622
  6. Step 6: Final answer
    x = 90,783.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.