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Finding the Third Proportional to 17,682.75 and 23,607.75

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Solution

The third proportional to 17,682.75 and 23,607.75 is: 31,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.75 : 23,607.75 = 23,607.75 : x
  2. Step 2: Convert to fraction form
    17,682.75/23,607.75 = 23,607.75/x
  3. Step 3: Cross multiply
    17,682.75x = 23,607.75 × 23,607.75
  4. Step 4: Simplify right side
    17,682.75x = 557,325,860.06
  5. Step 5: Solve for x
    x = 557,325,860.06/17,682.75
  6. Step 6: Final answer
    x = 31,518.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.