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Finding the Third Proportional to 20,257 and 44,497

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Solution

The third proportional to 20,257 and 44,497 is: 97,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257 : 44,497 = 44,497 : x
  2. Step 2: Convert to fraction form
    20,257/44,497 = 44,497/x
  3. Step 3: Cross multiply
    20,257x = 44,497 × 44,497
  4. Step 4: Simplify right side
    20,257x = 1,979,983,009
  5. Step 5: Solve for x
    x = 1,979,983,009/20,257
  6. Step 6: Final answer
    x = 97,743.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.