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Finding the Third Proportional to 16,077.38 and 34,827.75

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Solution

The third proportional to 16,077.38 and 34,827.75 is: 75,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.38 : 34,827.75 = 34,827.75 : x
  2. Step 2: Convert to fraction form
    16,077.38/34,827.75 = 34,827.75/x
  3. Step 3: Cross multiply
    16,077.38x = 34,827.75 × 34,827.75
  4. Step 4: Simplify right side
    16,077.38x = 1,212,972,170.06
  5. Step 5: Solve for x
    x = 1,212,972,170.06/16,077.38
  6. Step 6: Final answer
    x = 75,445.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.