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Finding the Third Proportional to 17,768 and 27,608

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Solution

The third proportional to 17,768 and 27,608 is: 42,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768 : 27,608 = 27,608 : x
  2. Step 2: Convert to fraction form
    17,768/27,608 = 27,608/x
  3. Step 3: Cross multiply
    17,768x = 27,608 × 27,608
  4. Step 4: Simplify right side
    17,768x = 762,201,664
  5. Step 5: Solve for x
    x = 762,201,664/17,768
  6. Step 6: Final answer
    x = 42,897.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.