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Finding the Third Proportional to 37,712.50 and 55,916

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Solution

The third proportional to 37,712.50 and 55,916 is: 82,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,712.50 : 55,916 = 55,916 : x
  2. Step 2: Convert to fraction form
    37,712.50/55,916 = 55,916/x
  3. Step 3: Cross multiply
    37,712.50x = 55,916 × 55,916
  4. Step 4: Simplify right side
    37,712.50x = 3,126,599,056
  5. Step 5: Solve for x
    x = 3,126,599,056/37,712.50
  6. Step 6: Final answer
    x = 82,906.17

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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.