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Finding the Third Proportional to 32,865 and 71,949.25

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Solution

The third proportional to 32,865 and 71,949.25 is: 157,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865 : 71,949.25 = 71,949.25 : x
  2. Step 2: Convert to fraction form
    32,865/71,949.25 = 71,949.25/x
  3. Step 3: Cross multiply
    32,865x = 71,949.25 × 71,949.25
  4. Step 4: Simplify right side
    32,865x = 5,176,694,575.56
  5. Step 5: Solve for x
    x = 5,176,694,575.56/32,865
  6. Step 6: Final answer
    x = 157,513.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.