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Finding the Third Proportional to 31,392 and 43,996

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Solution

The third proportional to 31,392 and 43,996 is: 61,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,392 : 43,996 = 43,996 : x
  2. Step 2: Convert to fraction form
    31,392/43,996 = 43,996/x
  3. Step 3: Cross multiply
    31,392x = 43,996 × 43,996
  4. Step 4: Simplify right side
    31,392x = 1,935,648,016
  5. Step 5: Solve for x
    x = 1,935,648,016/31,392
  6. Step 6: Final answer
    x = 61,660.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.