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Finding the Third Proportional to 31,592 and 42,393

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Solution

The third proportional to 31,592 and 42,393 is: 56,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592 : 42,393 = 42,393 : x
  2. Step 2: Convert to fraction form
    31,592/42,393 = 42,393/x
  3. Step 3: Cross multiply
    31,592x = 42,393 × 42,393
  4. Step 4: Simplify right side
    31,592x = 1,797,166,449
  5. Step 5: Solve for x
    x = 1,797,166,449/31,592
  6. Step 6: Final answer
    x = 56,886.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.