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Finding the Third Proportional to 37,961 and 55,478

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Solution

The third proportional to 37,961 and 55,478 is: 81,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,961 : 55,478 = 55,478 : x
  2. Step 2: Convert to fraction form
    37,961/55,478 = 55,478/x
  3. Step 3: Cross multiply
    37,961x = 55,478 × 55,478
  4. Step 4: Simplify right side
    37,961x = 3,077,808,484
  5. Step 5: Solve for x
    x = 3,077,808,484/37,961
  6. Step 6: Final answer
    x = 81,078.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.