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Finding the Third Proportional to 27,176 and 38,540

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Solution

The third proportional to 27,176 and 38,540 is: 54,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,176 : 38,540 = 38,540 : x
  2. Step 2: Convert to fraction form
    27,176/38,540 = 38,540/x
  3. Step 3: Cross multiply
    27,176x = 38,540 × 38,540
  4. Step 4: Simplify right side
    27,176x = 1,485,331,600
  5. Step 5: Solve for x
    x = 1,485,331,600/27,176
  6. Step 6: Final answer
    x = 54,656.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.