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Finding the Third Proportional to 23,116 and 47,325

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Solution

The third proportional to 23,116 and 47,325 is: 96,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116 : 47,325 = 47,325 : x
  2. Step 2: Convert to fraction form
    23,116/47,325 = 47,325/x
  3. Step 3: Cross multiply
    23,116x = 47,325 × 47,325
  4. Step 4: Simplify right side
    23,116x = 2,239,655,625
  5. Step 5: Solve for x
    x = 2,239,655,625/23,116
  6. Step 6: Final answer
    x = 96,887.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.