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Finding the Third Proportional to 38,472 and 57,961

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Solution

The third proportional to 38,472 and 57,961 is: 87,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,472 : 57,961 = 57,961 : x
  2. Step 2: Convert to fraction form
    38,472/57,961 = 57,961/x
  3. Step 3: Cross multiply
    38,472x = 57,961 × 57,961
  4. Step 4: Simplify right side
    38,472x = 3,359,477,521
  5. Step 5: Solve for x
    x = 3,359,477,521/38,472
  6. Step 6: Final answer
    x = 87,322.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.