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Finding the Third Proportional to 31,326 and 42,956

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Solution

The third proportional to 31,326 and 42,956 is: 58,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,326 : 42,956 = 42,956 : x
  2. Step 2: Convert to fraction form
    31,326/42,956 = 42,956/x
  3. Step 3: Cross multiply
    31,326x = 42,956 × 42,956
  4. Step 4: Simplify right side
    31,326x = 1,845,217,936
  5. Step 5: Solve for x
    x = 1,845,217,936/31,326
  6. Step 6: Final answer
    x = 58,903.72

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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.