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Finding the Third Proportional to 37,228 and 57,570

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Solution

The third proportional to 37,228 and 57,570 is: 89,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,228 : 57,570 = 57,570 : x
  2. Step 2: Convert to fraction form
    37,228/57,570 = 57,570/x
  3. Step 3: Cross multiply
    37,228x = 57,570 × 57,570
  4. Step 4: Simplify right side
    37,228x = 3,314,304,900
  5. Step 5: Solve for x
    x = 3,314,304,900/37,228
  6. Step 6: Final answer
    x = 89,027.21

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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.