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Finding the Third Proportional to 30,656 and 62,608

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Solution

The third proportional to 30,656 and 62,608 is: 127,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656 : 62,608 = 62,608 : x
  2. Step 2: Convert to fraction form
    30,656/62,608 = 62,608/x
  3. Step 3: Cross multiply
    30,656x = 62,608 × 62,608
  4. Step 4: Simplify right side
    30,656x = 3,919,761,664
  5. Step 5: Solve for x
    x = 3,919,761,664/30,656
  6. Step 6: Final answer
    x = 127,862.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.