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Finding the Third Proportional to 5,149.99 and 10,573.35

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Solution

The third proportional to 5,149.99 and 10,573.35 is: 21,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.99 : 10,573.35 = 10,573.35 : x
  2. Step 2: Convert to fraction form
    5,149.99/10,573.35 = 10,573.35/x
  3. Step 3: Cross multiply
    5,149.99x = 10,573.35 × 10,573.35
  4. Step 4: Simplify right side
    5,149.99x = 111,795,680.66
  5. Step 5: Solve for x
    x = 111,795,680.66/5,149.99
  6. Step 6: Final answer
    x = 21,707.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.