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Finding the Third Proportional to 31,914 and 42,930

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Solution

The third proportional to 31,914 and 42,930 is: 57,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914 : 42,930 = 42,930 : x
  2. Step 2: Convert to fraction form
    31,914/42,930 = 42,930/x
  3. Step 3: Cross multiply
    31,914x = 42,930 × 42,930
  4. Step 4: Simplify right side
    31,914x = 1,842,984,900
  5. Step 5: Solve for x
    x = 1,842,984,900/31,914
  6. Step 6: Final answer
    x = 57,748.48

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.