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Finding the Third Proportional to 23,264 and 48,497

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Solution

The third proportional to 23,264 and 48,497 is: 101,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264 : 48,497 = 48,497 : x
  2. Step 2: Convert to fraction form
    23,264/48,497 = 48,497/x
  3. Step 3: Cross multiply
    23,264x = 48,497 × 48,497
  4. Step 4: Simplify right side
    23,264x = 2,351,959,009
  5. Step 5: Solve for x
    x = 2,351,959,009/23,264
  6. Step 6: Final answer
    x = 101,098.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.