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Finding the Third Proportional to 9,665.44 and 20,606.63

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Solution

The third proportional to 9,665.44 and 20,606.63 is: 43,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.44 : 20,606.63 = 20,606.63 : x
  2. Step 2: Convert to fraction form
    9,665.44/20,606.63 = 20,606.63/x
  3. Step 3: Cross multiply
    9,665.44x = 20,606.63 × 20,606.63
  4. Step 4: Simplify right side
    9,665.44x = 424,632,993.89
  5. Step 5: Solve for x
    x = 424,632,993.89/9,665.44
  6. Step 6: Final answer
    x = 43,933.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.