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Finding the Third Proportional to 20,272 and 44,341

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Solution

The third proportional to 20,272 and 44,341 is: 96,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272 : 44,341 = 44,341 : x
  2. Step 2: Convert to fraction form
    20,272/44,341 = 44,341/x
  3. Step 3: Cross multiply
    20,272x = 44,341 × 44,341
  4. Step 4: Simplify right side
    20,272x = 1,966,124,281
  5. Step 5: Solve for x
    x = 1,966,124,281/20,272
  6. Step 6: Final answer
    x = 96,987.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.