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Finding the Third Proportional to 27,477 and 41,604.75

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Solution

The third proportional to 27,477 and 41,604.75 is: 62,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477 : 41,604.75 = 41,604.75 : x
  2. Step 2: Convert to fraction form
    27,477/41,604.75 = 41,604.75/x
  3. Step 3: Cross multiply
    27,477x = 41,604.75 × 41,604.75
  4. Step 4: Simplify right side
    27,477x = 1,730,955,222.56
  5. Step 5: Solve for x
    x = 1,730,955,222.56/27,477
  6. Step 6: Final answer
    x = 62,996.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.