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Finding the Third Proportional to 29,949.75 and 71,219.25

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Solution

The third proportional to 29,949.75 and 71,219.25 is: 169,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,949.75 : 71,219.25 = 71,219.25 : x
  2. Step 2: Convert to fraction form
    29,949.75/71,219.25 = 71,219.25/x
  3. Step 3: Cross multiply
    29,949.75x = 71,219.25 × 71,219.25
  4. Step 4: Simplify right side
    29,949.75x = 5,072,181,570.56
  5. Step 5: Solve for x
    x = 5,072,181,570.56/29,949.75
  6. Step 6: Final answer
    x = 169,356.39

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.