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Finding the Third Proportional to 3,675 and 7,926

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Solution

The third proportional to 3,675 and 7,926 is: 17,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675 : 7,926 = 7,926 : x
  2. Step 2: Convert to fraction form
    3,675/7,926 = 7,926/x
  3. Step 3: Cross multiply
    3,675x = 7,926 × 7,926
  4. Step 4: Simplify right side
    3,675x = 62,821,476
  5. Step 5: Solve for x
    x = 62,821,476/3,675
  6. Step 6: Final answer
    x = 17,094.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.