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Finding the Third Proportional to 5,024.25 and 10,446.75

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Solution

The third proportional to 5,024.25 and 10,446.75 is: 21,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.25 : 10,446.75 = 10,446.75 : x
  2. Step 2: Convert to fraction form
    5,024.25/10,446.75 = 10,446.75/x
  3. Step 3: Cross multiply
    5,024.25x = 10,446.75 × 10,446.75
  4. Step 4: Simplify right side
    5,024.25x = 109,134,585.56
  5. Step 5: Solve for x
    x = 109,134,585.56/5,024.25
  6. Step 6: Final answer
    x = 21,721.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.