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Finding the Third Proportional to 30,899 and 66,608

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Solution

The third proportional to 30,899 and 66,608 is: 143,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899 : 66,608 = 66,608 : x
  2. Step 2: Convert to fraction form
    30,899/66,608 = 66,608/x
  3. Step 3: Cross multiply
    30,899x = 66,608 × 66,608
  4. Step 4: Simplify right side
    30,899x = 4,436,625,664
  5. Step 5: Solve for x
    x = 4,436,625,664/30,899
  6. Step 6: Final answer
    x = 143,584.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.