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Finding the Third Proportional to 27,056 and 40,474

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Solution

The third proportional to 27,056 and 40,474 is: 60,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056 : 40,474 = 40,474 : x
  2. Step 2: Convert to fraction form
    27,056/40,474 = 40,474/x
  3. Step 3: Cross multiply
    27,056x = 40,474 × 40,474
  4. Step 4: Simplify right side
    27,056x = 1,638,144,676
  5. Step 5: Solve for x
    x = 1,638,144,676/27,056
  6. Step 6: Final answer
    x = 60,546.45

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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.