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Finding the Third Proportional to 15,194.75 and 23,002

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Solution

The third proportional to 15,194.75 and 23,002 is: 34,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.75 : 23,002 = 23,002 : x
  2. Step 2: Convert to fraction form
    15,194.75/23,002 = 23,002/x
  3. Step 3: Cross multiply
    15,194.75x = 23,002 × 23,002
  4. Step 4: Simplify right side
    15,194.75x = 529,092,004
  5. Step 5: Solve for x
    x = 529,092,004/15,194.75
  6. Step 6: Final answer
    x = 34,820.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.