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Finding the Third Proportional to 17,067 and 23,008.50

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Solution

The third proportional to 17,067 and 23,008.50 is: 31,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,067 : 23,008.50 = 23,008.50 : x
  2. Step 2: Convert to fraction form
    17,067/23,008.50 = 23,008.50/x
  3. Step 3: Cross multiply
    17,067x = 23,008.50 × 23,008.50
  4. Step 4: Simplify right side
    17,067x = 529,391,072.25
  5. Step 5: Solve for x
    x = 529,391,072.25/17,067
  6. Step 6: Final answer
    x = 31,018.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.