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Finding the Third Proportional to 20,511 and 48,295

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Solution

The third proportional to 20,511 and 48,295 is: 113,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511 : 48,295 = 48,295 : x
  2. Step 2: Convert to fraction form
    20,511/48,295 = 48,295/x
  3. Step 3: Cross multiply
    20,511x = 48,295 × 48,295
  4. Step 4: Simplify right side
    20,511x = 2,332,407,025
  5. Step 5: Solve for x
    x = 2,332,407,025/20,511
  6. Step 6: Final answer
    x = 113,714.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.