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Finding the Third Proportional to 6,214.50 and 9,601

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Solution

The third proportional to 6,214.50 and 9,601 is: 14,832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.50 : 9,601 = 9,601 : x
  2. Step 2: Convert to fraction form
    6,214.50/9,601 = 9,601/x
  3. Step 3: Cross multiply
    6,214.50x = 9,601 × 9,601
  4. Step 4: Simplify right side
    6,214.50x = 92,179,201
  5. Step 5: Solve for x
    x = 92,179,201/6,214.50
  6. Step 6: Final answer
    x = 14,832.92

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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.