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Finding the Third Proportional to 5,024.25 and 10,185.19

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Solution

The third proportional to 5,024.25 and 10,185.19 is: 20,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.25 : 10,185.19 = 10,185.19 : x
  2. Step 2: Convert to fraction form
    5,024.25/10,185.19 = 10,185.19/x
  3. Step 3: Cross multiply
    5,024.25x = 10,185.19 × 10,185.19
  4. Step 4: Simplify right side
    5,024.25x = 103,738,044.41
  5. Step 5: Solve for x
    x = 103,738,044.41/5,024.25
  6. Step 6: Final answer
    x = 20,647.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.