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Finding the Third Proportional to 11,066.63 and 23,906.39

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Solution

The third proportional to 11,066.63 and 23,906.39 is: 51,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066.63 : 23,906.39 = 23,906.39 : x
  2. Step 2: Convert to fraction form
    11,066.63/23,906.39 = 23,906.39/x
  3. Step 3: Cross multiply
    11,066.63x = 23,906.39 × 23,906.39
  4. Step 4: Simplify right side
    11,066.63x = 571,515,512.72
  5. Step 5: Solve for x
    x = 571,515,512.72/11,066.63
  6. Step 6: Final answer
    x = 51,643.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.