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Finding the Third Proportional to 32,753 and 76,926

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Solution

The third proportional to 32,753 and 76,926 is: 180,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753 : 76,926 = 76,926 : x
  2. Step 2: Convert to fraction form
    32,753/76,926 = 76,926/x
  3. Step 3: Cross multiply
    32,753x = 76,926 × 76,926
  4. Step 4: Simplify right side
    32,753x = 5,917,609,476
  5. Step 5: Solve for x
    x = 5,917,609,476/32,753
  6. Step 6: Final answer
    x = 180,673.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.