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Finding the Third Proportional to 36,007 and 49,447

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Solution

The third proportional to 36,007 and 49,447 is: 67,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,007 : 49,447 = 49,447 : x
  2. Step 2: Convert to fraction form
    36,007/49,447 = 49,447/x
  3. Step 3: Cross multiply
    36,007x = 49,447 × 49,447
  4. Step 4: Simplify right side
    36,007x = 2,445,005,809
  5. Step 5: Solve for x
    x = 2,445,005,809/36,007
  6. Step 6: Final answer
    x = 67,903.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.