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Finding the Third Proportional to 2,861.44 and 6,269.06

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Solution

The third proportional to 2,861.44 and 6,269.06 is: 13,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.44 : 6,269.06 = 6,269.06 : x
  2. Step 2: Convert to fraction form
    2,861.44/6,269.06 = 6,269.06/x
  3. Step 3: Cross multiply
    2,861.44x = 6,269.06 × 6,269.06
  4. Step 4: Simplify right side
    2,861.44x = 39,301,144.63
  5. Step 5: Solve for x
    x = 39,301,144.63/2,861.44
  6. Step 6: Final answer
    x = 13,734.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.