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Finding the Third Proportional to 27,085 and 40,628

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Solution

The third proportional to 27,085 and 40,628 is: 60,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085 : 40,628 = 40,628 : x
  2. Step 2: Convert to fraction form
    27,085/40,628 = 40,628/x
  3. Step 3: Cross multiply
    27,085x = 40,628 × 40,628
  4. Step 4: Simplify right side
    27,085x = 1,650,634,384
  5. Step 5: Solve for x
    x = 1,650,634,384/27,085
  6. Step 6: Final answer
    x = 60,942.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.