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Finding the Third Proportional to 40,008 and 66,684

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Solution

The third proportional to 40,008 and 66,684 is: 111,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,008 : 66,684 = 66,684 : x
  2. Step 2: Convert to fraction form
    40,008/66,684 = 66,684/x
  3. Step 3: Cross multiply
    40,008x = 66,684 × 66,684
  4. Step 4: Simplify right side
    40,008x = 4,446,755,856
  5. Step 5: Solve for x
    x = 4,446,755,856/40,008
  6. Step 6: Final answer
    x = 111,146.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.