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Finding the Third Proportional to 11,608 and 18,053

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Solution

The third proportional to 11,608 and 18,053 is: 28,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608 : 18,053 = 18,053 : x
  2. Step 2: Convert to fraction form
    11,608/18,053 = 18,053/x
  3. Step 3: Cross multiply
    11,608x = 18,053 × 18,053
  4. Step 4: Simplify right side
    11,608x = 325,910,809
  5. Step 5: Solve for x
    x = 325,910,809/11,608
  6. Step 6: Final answer
    x = 28,076.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.