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Finding the Third Proportional to 15,793 and 34,015

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Solution

The third proportional to 15,793 and 34,015 is: 73,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,793 : 34,015 = 34,015 : x
  2. Step 2: Convert to fraction form
    15,793/34,015 = 34,015/x
  3. Step 3: Cross multiply
    15,793x = 34,015 × 34,015
  4. Step 4: Simplify right side
    15,793x = 1,157,020,225
  5. Step 5: Solve for x
    x = 1,157,020,225/15,793
  6. Step 6: Final answer
    x = 73,261.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.