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Finding the Third Proportional to 40,034 and 92,777

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Solution

The third proportional to 40,034 and 92,777 is: 215,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,034 : 92,777 = 92,777 : x
  2. Step 2: Convert to fraction form
    40,034/92,777 = 92,777/x
  3. Step 3: Cross multiply
    40,034x = 92,777 × 92,777
  4. Step 4: Simplify right side
    40,034x = 8,607,571,729
  5. Step 5: Solve for x
    x = 8,607,571,729/40,034
  6. Step 6: Final answer
    x = 215,006.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.