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Finding the Third Proportional to 23,051.50 and 35,601

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Solution

The third proportional to 23,051.50 and 35,601 is: 54,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.50 : 35,601 = 35,601 : x
  2. Step 2: Convert to fraction form
    23,051.50/35,601 = 35,601/x
  3. Step 3: Cross multiply
    23,051.50x = 35,601 × 35,601
  4. Step 4: Simplify right side
    23,051.50x = 1,267,431,201
  5. Step 5: Solve for x
    x = 1,267,431,201/23,051.50
  6. Step 6: Final answer
    x = 54,982.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.