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Finding the Third Proportional to 749 and 1,781

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Solution

The third proportional to 749 and 1,781 is: 4,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    749 : 1,781 = 1,781 : x
  2. Step 2: Convert to fraction form
    749/1,781 = 1,781/x
  3. Step 3: Cross multiply
    749x = 1,781 × 1,781
  4. Step 4: Simplify right side
    749x = 3,171,961
  5. Step 5: Solve for x
    x = 3,171,961/749
  6. Step 6: Final answer
    x = 4,234.93

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.