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Finding the Third Proportional to 17,335 and 27,563

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Solution

The third proportional to 17,335 and 27,563 is: 43,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335 : 27,563 = 27,563 : x
  2. Step 2: Convert to fraction form
    17,335/27,563 = 27,563/x
  3. Step 3: Cross multiply
    17,335x = 27,563 × 27,563
  4. Step 4: Simplify right side
    17,335x = 759,718,969
  5. Step 5: Solve for x
    x = 759,718,969/17,335
  6. Step 6: Final answer
    x = 43,825.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.