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Finding the Third Proportional to 34,493 and 73,569.50

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Solution

The third proportional to 34,493 and 73,569.50 is: 156,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,493 : 73,569.50 = 73,569.50 : x
  2. Step 2: Convert to fraction form
    34,493/73,569.50 = 73,569.50/x
  3. Step 3: Cross multiply
    34,493x = 73,569.50 × 73,569.50
  4. Step 4: Simplify right side
    34,493x = 5,412,471,330.25
  5. Step 5: Solve for x
    x = 5,412,471,330.25/34,493
  6. Step 6: Final answer
    x = 156,915.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.