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Finding the Third Proportional to 15,992 and 35,157

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Solution

The third proportional to 15,992 and 35,157 is: 77,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992 : 35,157 = 35,157 : x
  2. Step 2: Convert to fraction form
    15,992/35,157 = 35,157/x
  3. Step 3: Cross multiply
    15,992x = 35,157 × 35,157
  4. Step 4: Simplify right side
    15,992x = 1,236,014,649
  5. Step 5: Solve for x
    x = 1,236,014,649/15,992
  6. Step 6: Final answer
    x = 77,289.56

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Why These Related Problems?

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