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Finding the Third Proportional to 5,027.06 and 10,821.09

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Solution

The third proportional to 5,027.06 and 10,821.09 is: 23,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.06 : 10,821.09 = 10,821.09 : x
  2. Step 2: Convert to fraction form
    5,027.06/10,821.09 = 10,821.09/x
  3. Step 3: Cross multiply
    5,027.06x = 10,821.09 × 10,821.09
  4. Step 4: Simplify right side
    5,027.06x = 117,096,069.95
  5. Step 5: Solve for x
    x = 117,096,069.95/5,027.06
  6. Step 6: Final answer
    x = 23,293.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.