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Finding the Third Proportional to 23,553 and 48,186

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Solution

The third proportional to 23,553 and 48,186 is: 98,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,553 : 48,186 = 48,186 : x
  2. Step 2: Convert to fraction form
    23,553/48,186 = 48,186/x
  3. Step 3: Cross multiply
    23,553x = 48,186 × 48,186
  4. Step 4: Simplify right side
    23,553x = 2,321,890,596
  5. Step 5: Solve for x
    x = 2,321,890,596/23,553
  6. Step 6: Final answer
    x = 98,581.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.