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Finding the Third Proportional to 27,269 and 59,392

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Solution

The third proportional to 27,269 and 59,392 is: 129,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,269 : 59,392 = 59,392 : x
  2. Step 2: Convert to fraction form
    27,269/59,392 = 59,392/x
  3. Step 3: Cross multiply
    27,269x = 59,392 × 59,392
  4. Step 4: Simplify right side
    27,269x = 3,527,409,664
  5. Step 5: Solve for x
    x = 3,527,409,664/27,269
  6. Step 6: Final answer
    x = 129,356.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.