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Finding the Third Proportional to 28,195 and 61,971

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Solution

The third proportional to 28,195 and 61,971 is: 136,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,195 : 61,971 = 61,971 : x
  2. Step 2: Convert to fraction form
    28,195/61,971 = 61,971/x
  3. Step 3: Cross multiply
    28,195x = 61,971 × 61,971
  4. Step 4: Simplify right side
    28,195x = 3,840,404,841
  5. Step 5: Solve for x
    x = 3,840,404,841/28,195
  6. Step 6: Final answer
    x = 136,208.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.