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Finding the Third Proportional to 3,286 and 7,595

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Solution

The third proportional to 3,286 and 7,595 is: 17,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 7,595 = 7,595 : x
  2. Step 2: Convert to fraction form
    3,286/7,595 = 7,595/x
  3. Step 3: Cross multiply
    3,286x = 7,595 × 7,595
  4. Step 4: Simplify right side
    3,286x = 57,684,025
  5. Step 5: Solve for x
    x = 57,684,025/3,286
  6. Step 6: Final answer
    x = 17,554.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.