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Finding the Third Proportional to 11,003.25 and 23,717.63

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Solution

The third proportional to 11,003.25 and 23,717.63 is: 51,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.25 : 23,717.63 = 23,717.63 : x
  2. Step 2: Convert to fraction form
    11,003.25/23,717.63 = 23,717.63/x
  3. Step 3: Cross multiply
    11,003.25x = 23,717.63 × 23,717.63
  4. Step 4: Simplify right side
    11,003.25x = 562,525,735.64
  5. Step 5: Solve for x
    x = 562,525,735.64/11,003.25
  6. Step 6: Final answer
    x = 51,123.60

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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.