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Finding the Third Proportional to 3,577 and 7,767

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Solution

The third proportional to 3,577 and 7,767 is: 16,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577 : 7,767 = 7,767 : x
  2. Step 2: Convert to fraction form
    3,577/7,767 = 7,767/x
  3. Step 3: Cross multiply
    3,577x = 7,767 × 7,767
  4. Step 4: Simplify right side
    3,577x = 60,326,289
  5. Step 5: Solve for x
    x = 60,326,289/3,577
  6. Step 6: Final answer
    x = 16,865.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.