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Finding the Third Proportional to 37,710 and 79,092

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Solution

The third proportional to 37,710 and 79,092 is: 165,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,710 : 79,092 = 79,092 : x
  2. Step 2: Convert to fraction form
    37,710/79,092 = 79,092/x
  3. Step 3: Cross multiply
    37,710x = 79,092 × 79,092
  4. Step 4: Simplify right side
    37,710x = 6,255,544,464
  5. Step 5: Solve for x
    x = 6,255,544,464/37,710
  6. Step 6: Final answer
    x = 165,885.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.