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Finding the Third Proportional to 21,577 and 48,175

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Solution

The third proportional to 21,577 and 48,175 is: 107,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577 : 48,175 = 48,175 : x
  2. Step 2: Convert to fraction form
    21,577/48,175 = 48,175/x
  3. Step 3: Cross multiply
    21,577x = 48,175 × 48,175
  4. Step 4: Simplify right side
    21,577x = 2,320,830,625
  5. Step 5: Solve for x
    x = 2,320,830,625/21,577
  6. Step 6: Final answer
    x = 107,560.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.