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Finding the Third Proportional to 3,770 and 6,595

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Solution

The third proportional to 3,770 and 6,595 is: 11,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770 : 6,595 = 6,595 : x
  2. Step 2: Convert to fraction form
    3,770/6,595 = 6,595/x
  3. Step 3: Cross multiply
    3,770x = 6,595 × 6,595
  4. Step 4: Simplify right side
    3,770x = 43,494,025
  5. Step 5: Solve for x
    x = 43,494,025/3,770
  6. Step 6: Final answer
    x = 11,536.88

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.