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Finding the Third Proportional to 40,902 and 60,005

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Solution

The third proportional to 40,902 and 60,005 is: 88,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,902 : 60,005 = 60,005 : x
  2. Step 2: Convert to fraction form
    40,902/60,005 = 60,005/x
  3. Step 3: Cross multiply
    40,902x = 60,005 × 60,005
  4. Step 4: Simplify right side
    40,902x = 3,600,600,025
  5. Step 5: Solve for x
    x = 3,600,600,025/40,902
  6. Step 6: Final answer
    x = 88,029.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.