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Finding the Third Proportional to 37,362 and 57,850

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Solution

The third proportional to 37,362 and 57,850 is: 89,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,362 : 57,850 = 57,850 : x
  2. Step 2: Convert to fraction form
    37,362/57,850 = 57,850/x
  3. Step 3: Cross multiply
    37,362x = 57,850 × 57,850
  4. Step 4: Simplify right side
    37,362x = 3,346,622,500
  5. Step 5: Solve for x
    x = 3,346,622,500/37,362
  6. Step 6: Final answer
    x = 89,572.89

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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.