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Finding the Third Proportional to 27,893.75 and 39,014.50

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Solution

The third proportional to 27,893.75 and 39,014.50 is: 54,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893.75 : 39,014.50 = 39,014.50 : x
  2. Step 2: Convert to fraction form
    27,893.75/39,014.50 = 39,014.50/x
  3. Step 3: Cross multiply
    27,893.75x = 39,014.50 × 39,014.50
  4. Step 4: Simplify right side
    27,893.75x = 1,522,131,210.25
  5. Step 5: Solve for x
    x = 1,522,131,210.25/27,893.75
  6. Step 6: Final answer
    x = 54,568.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.