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Finding the Third Proportional to 23,199 and 50,565

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Solution

The third proportional to 23,199 and 50,565 is: 110,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199 : 50,565 = 50,565 : x
  2. Step 2: Convert to fraction form
    23,199/50,565 = 50,565/x
  3. Step 3: Cross multiply
    23,199x = 50,565 × 50,565
  4. Step 4: Simplify right side
    23,199x = 2,556,819,225
  5. Step 5: Solve for x
    x = 2,556,819,225/23,199
  6. Step 6: Final answer
    x = 110,212.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.