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Finding the Third Proportional to 9,635.63 and 20,908.69

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Solution

The third proportional to 9,635.63 and 20,908.69 is: 45,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.63 : 20,908.69 = 20,908.69 : x
  2. Step 2: Convert to fraction form
    9,635.63/20,908.69 = 20,908.69/x
  3. Step 3: Cross multiply
    9,635.63x = 20,908.69 × 20,908.69
  4. Step 4: Simplify right side
    9,635.63x = 437,173,212.97
  5. Step 5: Solve for x
    x = 437,173,212.97/9,635.63
  6. Step 6: Final answer
    x = 45,370.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.