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Finding the Third Proportional to 32,693 and 51,797

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Solution

The third proportional to 32,693 and 51,797 is: 82,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,693 : 51,797 = 51,797 : x
  2. Step 2: Convert to fraction form
    32,693/51,797 = 51,797/x
  3. Step 3: Cross multiply
    32,693x = 51,797 × 51,797
  4. Step 4: Simplify right side
    32,693x = 2,682,929,209
  5. Step 5: Solve for x
    x = 2,682,929,209/32,693
  6. Step 6: Final answer
    x = 82,064.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.