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Finding the Third Proportional to 2,956.50 and 6,251.63

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Solution

The third proportional to 2,956.50 and 6,251.63 is: 13,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.50 : 6,251.63 = 6,251.63 : x
  2. Step 2: Convert to fraction form
    2,956.50/6,251.63 = 6,251.63/x
  3. Step 3: Cross multiply
    2,956.50x = 6,251.63 × 6,251.63
  4. Step 4: Simplify right side
    2,956.50x = 39,082,815.14
  5. Step 5: Solve for x
    x = 39,082,815.14/2,956.50
  6. Step 6: Final answer
    x = 13,219.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.