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Finding the Third Proportional to 39,733 and 60,004

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Solution

The third proportional to 39,733 and 60,004 is: 90,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,733 : 60,004 = 60,004 : x
  2. Step 2: Convert to fraction form
    39,733/60,004 = 60,004/x
  3. Step 3: Cross multiply
    39,733x = 60,004 × 60,004
  4. Step 4: Simplify right side
    39,733x = 3,600,480,016
  5. Step 5: Solve for x
    x = 3,600,480,016/39,733
  6. Step 6: Final answer
    x = 90,616.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.