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Finding the Third Proportional to 48,001 and 72,005

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Solution

The third proportional to 48,001 and 72,005 is: 108,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,001 : 72,005 = 72,005 : x
  2. Step 2: Convert to fraction form
    48,001/72,005 = 72,005/x
  3. Step 3: Cross multiply
    48,001x = 72,005 × 72,005
  4. Step 4: Simplify right side
    48,001x = 5,184,720,025
  5. Step 5: Solve for x
    x = 5,184,720,025/48,001
  6. Step 6: Final answer
    x = 108,012.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.