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Finding the Third Proportional to 40,927 and 60,738

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Solution

The third proportional to 40,927 and 60,738 is: 90,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,927 : 60,738 = 60,738 : x
  2. Step 2: Convert to fraction form
    40,927/60,738 = 60,738/x
  3. Step 3: Cross multiply
    40,927x = 60,738 × 60,738
  4. Step 4: Simplify right side
    40,927x = 3,689,104,644
  5. Step 5: Solve for x
    x = 3,689,104,644/40,927
  6. Step 6: Final answer
    x = 90,138.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.