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Finding the Third Proportional to 26,014 and 55,269

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Solution

The third proportional to 26,014 and 55,269 is: 117,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,014 : 55,269 = 55,269 : x
  2. Step 2: Convert to fraction form
    26,014/55,269 = 55,269/x
  3. Step 3: Cross multiply
    26,014x = 55,269 × 55,269
  4. Step 4: Simplify right side
    26,014x = 3,054,662,361
  5. Step 5: Solve for x
    x = 3,054,662,361/26,014
  6. Step 6: Final answer
    x = 117,423.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.