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Finding the Third Proportional to 30,883.78 and 64,212.75

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Solution

The third proportional to 30,883.78 and 64,212.75 is: 133,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.78 : 64,212.75 = 64,212.75 : x
  2. Step 2: Convert to fraction form
    30,883.78/64,212.75 = 64,212.75/x
  3. Step 3: Cross multiply
    30,883.78x = 64,212.75 × 64,212.75
  4. Step 4: Simplify right side
    30,883.78x = 4,123,277,262.56
  5. Step 5: Solve for x
    x = 4,123,277,262.56/30,883.78
  6. Step 6: Final answer
    x = 133,509.47

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.