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Finding the Third Proportional to 6,241 and 13,577

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Solution

The third proportional to 6,241 and 13,577 is: 29,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241 : 13,577 = 13,577 : x
  2. Step 2: Convert to fraction form
    6,241/13,577 = 13,577/x
  3. Step 3: Cross multiply
    6,241x = 13,577 × 13,577
  4. Step 4: Simplify right side
    6,241x = 184,334,929
  5. Step 5: Solve for x
    x = 184,334,929/6,241
  6. Step 6: Final answer
    x = 29,536.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.