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Finding the Third Proportional to 3,150.56 and 6,569.44

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Solution

The third proportional to 3,150.56 and 6,569.44 is: 13,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.56 : 6,569.44 = 6,569.44 : x
  2. Step 2: Convert to fraction form
    3,150.56/6,569.44 = 6,569.44/x
  3. Step 3: Cross multiply
    3,150.56x = 6,569.44 × 6,569.44
  4. Step 4: Simplify right side
    3,150.56x = 43,157,509.07
  5. Step 5: Solve for x
    x = 43,157,509.07/3,150.56
  6. Step 6: Final answer
    x = 13,698.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.