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Finding the Third Proportional to 36,777.38 and 79,385.63

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Solution

The third proportional to 36,777.38 and 79,385.63 is: 171,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,777.38 : 79,385.63 = 79,385.63 : x
  2. Step 2: Convert to fraction form
    36,777.38/79,385.63 = 79,385.63/x
  3. Step 3: Cross multiply
    36,777.38x = 79,385.63 × 79,385.63
  4. Step 4: Simplify right side
    36,777.38x = 6,302,077,456.64
  5. Step 5: Solve for x
    x = 6,302,077,456.64/36,777.38
  6. Step 6: Final answer
    x = 171,357.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.