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Finding the Third Proportional to 9,608.63 and 20,705.63

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Solution

The third proportional to 9,608.63 and 20,705.63 is: 44,618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.63 : 20,705.63 = 20,705.63 : x
  2. Step 2: Convert to fraction form
    9,608.63/20,705.63 = 20,705.63/x
  3. Step 3: Cross multiply
    9,608.63x = 20,705.63 × 20,705.63
  4. Step 4: Simplify right side
    9,608.63x = 428,722,906.64
  5. Step 5: Solve for x
    x = 428,722,906.64/9,608.63
  6. Step 6: Final answer
    x = 44,618.55

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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.