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Finding the Third Proportional to 34,227 and 54,346.50

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Solution

The third proportional to 34,227 and 54,346.50 is: 86,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,227 : 54,346.50 = 54,346.50 : x
  2. Step 2: Convert to fraction form
    34,227/54,346.50 = 54,346.50/x
  3. Step 3: Cross multiply
    34,227x = 54,346.50 × 54,346.50
  4. Step 4: Simplify right side
    34,227x = 2,953,542,062.25
  5. Step 5: Solve for x
    x = 2,953,542,062.25/34,227
  6. Step 6: Final answer
    x = 86,292.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.