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Finding the Third Proportional to 3,164 and 7,577

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Solution

The third proportional to 3,164 and 7,577 is: 18,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164 : 7,577 = 7,577 : x
  2. Step 2: Convert to fraction form
    3,164/7,577 = 7,577/x
  3. Step 3: Cross multiply
    3,164x = 7,577 × 7,577
  4. Step 4: Simplify right side
    3,164x = 57,410,929
  5. Step 5: Solve for x
    x = 57,410,929/3,164
  6. Step 6: Final answer
    x = 18,145.05

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.