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Finding the Third Proportional to 34,409.25 and 50,285.25

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Solution

The third proportional to 34,409.25 and 50,285.25 is: 73,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,409.25 : 50,285.25 = 50,285.25 : x
  2. Step 2: Convert to fraction form
    34,409.25/50,285.25 = 50,285.25/x
  3. Step 3: Cross multiply
    34,409.25x = 50,285.25 × 50,285.25
  4. Step 4: Simplify right side
    34,409.25x = 2,528,606,367.56
  5. Step 5: Solve for x
    x = 2,528,606,367.56/34,409.25
  6. Step 6: Final answer
    x = 73,486.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.