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Finding the Third Proportional to 8,504 and 17,998

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Solution

The third proportional to 8,504 and 17,998 is: 38,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504 : 17,998 = 17,998 : x
  2. Step 2: Convert to fraction form
    8,504/17,998 = 17,998/x
  3. Step 3: Cross multiply
    8,504x = 17,998 × 17,998
  4. Step 4: Simplify right side
    8,504x = 323,928,004
  5. Step 5: Solve for x
    x = 323,928,004/8,504
  6. Step 6: Final answer
    x = 38,091.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.