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Finding the Third Proportional to 17,698.50 and 25,089.75

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Solution

The third proportional to 17,698.50 and 25,089.75 is: 35,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.50 : 25,089.75 = 25,089.75 : x
  2. Step 2: Convert to fraction form
    17,698.50/25,089.75 = 25,089.75/x
  3. Step 3: Cross multiply
    17,698.50x = 25,089.75 × 25,089.75
  4. Step 4: Simplify right side
    17,698.50x = 629,495,555.06
  5. Step 5: Solve for x
    x = 629,495,555.06/17,698.50
  6. Step 6: Final answer
    x = 35,567.73

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.