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Finding the Third Proportional to 4,055.06 and 8,950.92

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Solution

The third proportional to 4,055.06 and 8,950.92 is: 19,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.06 : 8,950.92 = 8,950.92 : x
  2. Step 2: Convert to fraction form
    4,055.06/8,950.92 = 8,950.92/x
  3. Step 3: Cross multiply
    4,055.06x = 8,950.92 × 8,950.92
  4. Step 4: Simplify right side
    4,055.06x = 80,119,002.41
  5. Step 5: Solve for x
    x = 80,119,002.41/4,055.06
  6. Step 6: Final answer
    x = 19,757.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.