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Finding the Third Proportional to 27,749 and 40,647

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Solution

The third proportional to 27,749 and 40,647 is: 59,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,749 : 40,647 = 40,647 : x
  2. Step 2: Convert to fraction form
    27,749/40,647 = 40,647/x
  3. Step 3: Cross multiply
    27,749x = 40,647 × 40,647
  4. Step 4: Simplify right side
    27,749x = 1,652,178,609
  5. Step 5: Solve for x
    x = 1,652,178,609/27,749
  6. Step 6: Final answer
    x = 59,540.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.