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Finding the Third Proportional to 37,234 and 58,282

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Solution

The third proportional to 37,234 and 58,282 is: 91,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,234 : 58,282 = 58,282 : x
  2. Step 2: Convert to fraction form
    37,234/58,282 = 58,282/x
  3. Step 3: Cross multiply
    37,234x = 58,282 × 58,282
  4. Step 4: Simplify right side
    37,234x = 3,396,791,524
  5. Step 5: Solve for x
    x = 3,396,791,524/37,234
  6. Step 6: Final answer
    x = 91,228.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.