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Finding the Third Proportional to 2,770 and 6,577

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Solution

The third proportional to 2,770 and 6,577 is: 15,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770 : 6,577 = 6,577 : x
  2. Step 2: Convert to fraction form
    2,770/6,577 = 6,577/x
  3. Step 3: Cross multiply
    2,770x = 6,577 × 6,577
  4. Step 4: Simplify right side
    2,770x = 43,256,929
  5. Step 5: Solve for x
    x = 43,256,929/2,770
  6. Step 6: Final answer
    x = 15,616.22

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.