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Finding the Third Proportional to 37,953 and 58,916

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Solution

The third proportional to 37,953 and 58,916 is: 91,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,953 : 58,916 = 58,916 : x
  2. Step 2: Convert to fraction form
    37,953/58,916 = 58,916/x
  3. Step 3: Cross multiply
    37,953x = 58,916 × 58,916
  4. Step 4: Simplify right side
    37,953x = 3,471,095,056
  5. Step 5: Solve for x
    x = 3,471,095,056/37,953
  6. Step 6: Final answer
    x = 91,457.73

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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.