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Finding the Third Proportional to 19,698.75 and 25,231.50

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Solution

The third proportional to 19,698.75 and 25,231.50 is: 32,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.75 : 25,231.50 = 25,231.50 : x
  2. Step 2: Convert to fraction form
    19,698.75/25,231.50 = 25,231.50/x
  3. Step 3: Cross multiply
    19,698.75x = 25,231.50 × 25,231.50
  4. Step 4: Simplify right side
    19,698.75x = 636,628,592.25
  5. Step 5: Solve for x
    x = 636,628,592.25/19,698.75
  6. Step 6: Final answer
    x = 32,318.22

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.