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Finding the Third Proportional to 31,199 and 47,957

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Solution

The third proportional to 31,199 and 47,957 is: 73,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,199 : 47,957 = 47,957 : x
  2. Step 2: Convert to fraction form
    31,199/47,957 = 47,957/x
  3. Step 3: Cross multiply
    31,199x = 47,957 × 47,957
  4. Step 4: Simplify right side
    31,199x = 2,299,873,849
  5. Step 5: Solve for x
    x = 2,299,873,849/31,199
  6. Step 6: Final answer
    x = 73,716.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.