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Finding the Third Proportional to 13,939 and 30,650

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Solution

The third proportional to 13,939 and 30,650 is: 67,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939 : 30,650 = 30,650 : x
  2. Step 2: Convert to fraction form
    13,939/30,650 = 30,650/x
  3. Step 3: Cross multiply
    13,939x = 30,650 × 30,650
  4. Step 4: Simplify right side
    13,939x = 939,422,500
  5. Step 5: Solve for x
    x = 939,422,500/13,939
  6. Step 6: Final answer
    x = 67,395.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.