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Finding the Third Proportional to 23,418 and 55,269

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Solution

The third proportional to 23,418 and 55,269 is: 130,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,418 : 55,269 = 55,269 : x
  2. Step 2: Convert to fraction form
    23,418/55,269 = 55,269/x
  3. Step 3: Cross multiply
    23,418x = 55,269 × 55,269
  4. Step 4: Simplify right side
    23,418x = 3,054,662,361
  5. Step 5: Solve for x
    x = 3,054,662,361/23,418
  6. Step 6: Final answer
    x = 130,440.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.