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Finding the Third Proportional to 36,384 and 79,693

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Solution

The third proportional to 36,384 and 79,693 is: 174,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 79,693 = 79,693 : x
  2. Step 2: Convert to fraction form
    36,384/79,693 = 79,693/x
  3. Step 3: Cross multiply
    36,384x = 79,693 × 79,693
  4. Step 4: Simplify right side
    36,384x = 6,350,974,249
  5. Step 5: Solve for x
    x = 6,350,974,249/36,384
  6. Step 6: Final answer
    x = 174,554.04

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Why These Related Problems?

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