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Finding the Third Proportional to 11,106 and 23,232

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Solution

The third proportional to 11,106 and 23,232 is: 48,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106 : 23,232 = 23,232 : x
  2. Step 2: Convert to fraction form
    11,106/23,232 = 23,232/x
  3. Step 3: Cross multiply
    11,106x = 23,232 × 23,232
  4. Step 4: Simplify right side
    11,106x = 539,725,824
  5. Step 5: Solve for x
    x = 539,725,824/11,106
  6. Step 6: Final answer
    x = 48,597.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.