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Finding the Third Proportional to 15,608 and 35,852

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Solution

The third proportional to 15,608 and 35,852 is: 82,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,608 : 35,852 = 35,852 : x
  2. Step 2: Convert to fraction form
    15,608/35,852 = 35,852/x
  3. Step 3: Cross multiply
    15,608x = 35,852 × 35,852
  4. Step 4: Simplify right side
    15,608x = 1,285,365,904
  5. Step 5: Solve for x
    x = 1,285,365,904/15,608
  6. Step 6: Final answer
    x = 82,353.02

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.