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Finding the Third Proportional to 33,489.50 and 45,607

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Solution

The third proportional to 33,489.50 and 45,607 is: 62,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,489.50 : 45,607 = 45,607 : x
  2. Step 2: Convert to fraction form
    33,489.50/45,607 = 45,607/x
  3. Step 3: Cross multiply
    33,489.50x = 45,607 × 45,607
  4. Step 4: Simplify right side
    33,489.50x = 2,079,998,449
  5. Step 5: Solve for x
    x = 2,079,998,449/33,489.50
  6. Step 6: Final answer
    x = 62,108.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.