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Finding the Third Proportional to 2,029 and 3,761

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Solution

The third proportional to 2,029 and 3,761 is: 6,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029 : 3,761 = 3,761 : x
  2. Step 2: Convert to fraction form
    2,029/3,761 = 3,761/x
  3. Step 3: Cross multiply
    2,029x = 3,761 × 3,761
  4. Step 4: Simplify right side
    2,029x = 14,145,121
  5. Step 5: Solve for x
    x = 14,145,121/2,029
  6. Step 6: Final answer
    x = 6,971.47

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.