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Finding the Third Proportional to 42,997 and 61,932

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Solution

The third proportional to 42,997 and 61,932 is: 89,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,997 : 61,932 = 61,932 : x
  2. Step 2: Convert to fraction form
    42,997/61,932 = 61,932/x
  3. Step 3: Cross multiply
    42,997x = 61,932 × 61,932
  4. Step 4: Simplify right side
    42,997x = 3,835,572,624
  5. Step 5: Solve for x
    x = 3,835,572,624/42,997
  6. Step 6: Final answer
    x = 89,205.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.