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Finding the Third Proportional to 23,698 and 35,608

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Solution

The third proportional to 23,698 and 35,608 is: 53,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698 : 35,608 = 35,608 : x
  2. Step 2: Convert to fraction form
    23,698/35,608 = 35,608/x
  3. Step 3: Cross multiply
    23,698x = 35,608 × 35,608
  4. Step 4: Simplify right side
    23,698x = 1,267,929,664
  5. Step 5: Solve for x
    x = 1,267,929,664/23,698
  6. Step 6: Final answer
    x = 53,503.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.