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Finding the Third Proportional to 23,481 and 52,208

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Solution

The third proportional to 23,481 and 52,208 is: 116,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481 : 52,208 = 52,208 : x
  2. Step 2: Convert to fraction form
    23,481/52,208 = 52,208/x
  3. Step 3: Cross multiply
    23,481x = 52,208 × 52,208
  4. Step 4: Simplify right side
    23,481x = 2,725,675,264
  5. Step 5: Solve for x
    x = 2,725,675,264/23,481
  6. Step 6: Final answer
    x = 116,080.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.