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Finding the Third Proportional to 36,762 and 79,745

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Solution

The third proportional to 36,762 and 79,745 is: 172,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,762 : 79,745 = 79,745 : x
  2. Step 2: Convert to fraction form
    36,762/79,745 = 79,745/x
  3. Step 3: Cross multiply
    36,762x = 79,745 × 79,745
  4. Step 4: Simplify right side
    36,762x = 6,359,265,025
  5. Step 5: Solve for x
    x = 6,359,265,025/36,762
  6. Step 6: Final answer
    x = 172,984.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.