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Finding the Third Proportional to 3,150.56 and 6,782.63

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Solution

The third proportional to 3,150.56 and 6,782.63 is: 14,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.56 : 6,782.63 = 6,782.63 : x
  2. Step 2: Convert to fraction form
    3,150.56/6,782.63 = 6,782.63/x
  3. Step 3: Cross multiply
    3,150.56x = 6,782.63 × 6,782.63
  4. Step 4: Simplify right side
    3,150.56x = 46,004,001.89
  5. Step 5: Solve for x
    x = 46,004,001.89/3,150.56
  6. Step 6: Final answer
    x = 14,601.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.