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Finding the Third Proportional to 40,232 and 60,996

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Solution

The third proportional to 40,232 and 60,996 is: 92,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,232 : 60,996 = 60,996 : x
  2. Step 2: Convert to fraction form
    40,232/60,996 = 60,996/x
  3. Step 3: Cross multiply
    40,232x = 60,996 × 60,996
  4. Step 4: Simplify right side
    40,232x = 3,720,512,016
  5. Step 5: Solve for x
    x = 3,720,512,016/40,232
  6. Step 6: Final answer
    x = 92,476.44

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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.