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Finding the Third Proportional to 20,114 and 28,971

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Solution

The third proportional to 20,114 and 28,971 is: 41,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114 : 28,971 = 28,971 : x
  2. Step 2: Convert to fraction form
    20,114/28,971 = 28,971/x
  3. Step 3: Cross multiply
    20,114x = 28,971 × 28,971
  4. Step 4: Simplify right side
    20,114x = 839,318,841
  5. Step 5: Solve for x
    x = 839,318,841/20,114
  6. Step 6: Final answer
    x = 41,728.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.