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Finding the Third Proportional to 6,251.06 and 14,756.06

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Solution

The third proportional to 6,251.06 and 14,756.06 is: 34,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.06 : 14,756.06 = 14,756.06 : x
  2. Step 2: Convert to fraction form
    6,251.06/14,756.06 = 14,756.06/x
  3. Step 3: Cross multiply
    6,251.06x = 14,756.06 × 14,756.06
  4. Step 4: Simplify right side
    6,251.06x = 217,741,380.50
  5. Step 5: Solve for x
    x = 217,741,380.50/6,251.06
  6. Step 6: Final answer
    x = 34,832.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.