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Finding the Third Proportional to 17,966 and 27,577

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Solution

The third proportional to 17,966 and 27,577 is: 42,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966 : 27,577 = 27,577 : x
  2. Step 2: Convert to fraction form
    17,966/27,577 = 27,577/x
  3. Step 3: Cross multiply
    17,966x = 27,577 × 27,577
  4. Step 4: Simplify right side
    17,966x = 760,490,929
  5. Step 5: Solve for x
    x = 760,490,929/17,966
  6. Step 6: Final answer
    x = 42,329.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.