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Finding the Third Proportional to 2,950.56 and 6,556.71

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Solution

The third proportional to 2,950.56 and 6,556.71 is: 14,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.56 : 6,556.71 = 6,556.71 : x
  2. Step 2: Convert to fraction form
    2,950.56/6,556.71 = 6,556.71/x
  3. Step 3: Cross multiply
    2,950.56x = 6,556.71 × 6,556.71
  4. Step 4: Simplify right side
    2,950.56x = 42,990,458.32
  5. Step 5: Solve for x
    x = 42,990,458.32/2,950.56
  6. Step 6: Final answer
    x = 14,570.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.