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Finding the Third Proportional to 40,122 and 57,035

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Solution

The third proportional to 40,122 and 57,035 is: 81,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,122 : 57,035 = 57,035 : x
  2. Step 2: Convert to fraction form
    40,122/57,035 = 57,035/x
  3. Step 3: Cross multiply
    40,122x = 57,035 × 57,035
  4. Step 4: Simplify right side
    40,122x = 3,252,991,225
  5. Step 5: Solve for x
    x = 3,252,991,225/40,122
  6. Step 6: Final answer
    x = 81,077.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.