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Finding the Third Proportional to 23,116 and 34,242

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Solution

The third proportional to 23,116 and 34,242 is: 50,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116 : 34,242 = 34,242 : x
  2. Step 2: Convert to fraction form
    23,116/34,242 = 34,242/x
  3. Step 3: Cross multiply
    23,116x = 34,242 × 34,242
  4. Step 4: Simplify right side
    23,116x = 1,172,514,564
  5. Step 5: Solve for x
    x = 1,172,514,564/23,116
  6. Step 6: Final answer
    x = 50,723.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.