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Finding the Third Proportional to 40,900 and 60,002

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Solution

The third proportional to 40,900 and 60,002 is: 88,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,900 : 60,002 = 60,002 : x
  2. Step 2: Convert to fraction form
    40,900/60,002 = 60,002/x
  3. Step 3: Cross multiply
    40,900x = 60,002 × 60,002
  4. Step 4: Simplify right side
    40,900x = 3,600,240,004
  5. Step 5: Solve for x
    x = 3,600,240,004/40,900
  6. Step 6: Final answer
    x = 88,025.43

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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.