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Finding the Third Proportional to 40,043 and 60,767

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Solution

The third proportional to 40,043 and 60,767 is: 92,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,043 : 60,767 = 60,767 : x
  2. Step 2: Convert to fraction form
    40,043/60,767 = 60,767/x
  3. Step 3: Cross multiply
    40,043x = 60,767 × 60,767
  4. Step 4: Simplify right side
    40,043x = 3,692,628,289
  5. Step 5: Solve for x
    x = 3,692,628,289/40,043
  6. Step 6: Final answer
    x = 92,216.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.