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Finding the Third Proportional to 27,700 and 41,581

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Solution

The third proportional to 27,700 and 41,581 is: 62,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700 : 41,581 = 41,581 : x
  2. Step 2: Convert to fraction form
    27,700/41,581 = 41,581/x
  3. Step 3: Cross multiply
    27,700x = 41,581 × 41,581
  4. Step 4: Simplify right side
    27,700x = 1,728,979,561
  5. Step 5: Solve for x
    x = 1,728,979,561/27,700
  6. Step 6: Final answer
    x = 62,418.03

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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.