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Finding the Third Proportional to 2,032 and 3,770

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Solution

The third proportional to 2,032 and 3,770 is: 6,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032 : 3,770 = 3,770 : x
  2. Step 2: Convert to fraction form
    2,032/3,770 = 3,770/x
  3. Step 3: Cross multiply
    2,032x = 3,770 × 3,770
  4. Step 4: Simplify right side
    2,032x = 14,212,900
  5. Step 5: Solve for x
    x = 14,212,900/2,032
  6. Step 6: Final answer
    x = 6,994.54

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.