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Finding the Third Proportional to 25,933.50 and 47,794.50

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Solution

The third proportional to 25,933.50 and 47,794.50 is: 88,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,933.50 : 47,794.50 = 47,794.50 : x
  2. Step 2: Convert to fraction form
    25,933.50/47,794.50 = 47,794.50/x
  3. Step 3: Cross multiply
    25,933.50x = 47,794.50 × 47,794.50
  4. Step 4: Simplify right side
    25,933.50x = 2,284,314,230.25
  5. Step 5: Solve for x
    x = 2,284,314,230.25/25,933.50
  6. Step 6: Final answer
    x = 88,083.53

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.