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Finding the Third Proportional to 20,565 and 44,334

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Solution

The third proportional to 20,565 and 44,334 is: 95,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565 : 44,334 = 44,334 : x
  2. Step 2: Convert to fraction form
    20,565/44,334 = 44,334/x
  3. Step 3: Cross multiply
    20,565x = 44,334 × 44,334
  4. Step 4: Simplify right side
    20,565x = 1,965,503,556
  5. Step 5: Solve for x
    x = 1,965,503,556/20,565
  6. Step 6: Final answer
    x = 95,575.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.