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Finding the Third Proportional to 27,094.50 and 54,540

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Solution

The third proportional to 27,094.50 and 54,540 is: 109,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,094.50 : 54,540 = 54,540 : x
  2. Step 2: Convert to fraction form
    27,094.50/54,540 = 54,540/x
  3. Step 3: Cross multiply
    27,094.50x = 54,540 × 54,540
  4. Step 4: Simplify right side
    27,094.50x = 2,974,611,600
  5. Step 5: Solve for x
    x = 2,974,611,600/27,094.50
  6. Step 6: Final answer
    x = 109,786.55

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.