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Finding the Third Proportional to 23,390 and 31,956

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Solution

The third proportional to 23,390 and 31,956 is: 43,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,390 : 31,956 = 31,956 : x
  2. Step 2: Convert to fraction form
    23,390/31,956 = 31,956/x
  3. Step 3: Cross multiply
    23,390x = 31,956 × 31,956
  4. Step 4: Simplify right side
    23,390x = 1,021,185,936
  5. Step 5: Solve for x
    x = 1,021,185,936/23,390
  6. Step 6: Final answer
    x = 43,659.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.