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Finding the Third Proportional to 32,493 and 70,857

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Solution

The third proportional to 32,493 and 70,857 is: 154,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493 : 70,857 = 70,857 : x
  2. Step 2: Convert to fraction form
    32,493/70,857 = 70,857/x
  3. Step 3: Cross multiply
    32,493x = 70,857 × 70,857
  4. Step 4: Simplify right side
    32,493x = 5,020,714,449
  5. Step 5: Solve for x
    x = 5,020,714,449/32,493
  6. Step 6: Final answer
    x = 154,516.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.