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Finding the Third Proportional to 32,714 and 51,885

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Solution

The third proportional to 32,714 and 51,885 is: 82,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714 : 51,885 = 51,885 : x
  2. Step 2: Convert to fraction form
    32,714/51,885 = 51,885/x
  3. Step 3: Cross multiply
    32,714x = 51,885 × 51,885
  4. Step 4: Simplify right side
    32,714x = 2,692,053,225
  5. Step 5: Solve for x
    x = 2,692,053,225/32,714
  6. Step 6: Final answer
    x = 82,290.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.