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Finding the Third Proportional to 33,788.25 and 48,670.88

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Solution

The third proportional to 33,788.25 and 48,670.88 is: 70,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,788.25 : 48,670.88 = 48,670.88 : x
  2. Step 2: Convert to fraction form
    33,788.25/48,670.88 = 48,670.88/x
  3. Step 3: Cross multiply
    33,788.25x = 48,670.88 × 48,670.88
  4. Step 4: Simplify right side
    33,788.25x = 2,368,854,073.27
  5. Step 5: Solve for x
    x = 2,368,854,073.27/33,788.25
  6. Step 6: Final answer
    x = 70,108.81

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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.