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Finding the Third Proportional to 5,104.90 and 11,303.30

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Solution

The third proportional to 5,104.90 and 11,303.30 is: 25,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.90 : 11,303.30 = 11,303.30 : x
  2. Step 2: Convert to fraction form
    5,104.90/11,303.30 = 11,303.30/x
  3. Step 3: Cross multiply
    5,104.90x = 11,303.30 × 11,303.30
  4. Step 4: Simplify right side
    5,104.90x = 127,764,520.24
  5. Step 5: Solve for x
    x = 127,764,520.24/5,104.90
  6. Step 6: Final answer
    x = 25,027.83

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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.