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Finding the Third Proportional to 13,972.50 and 25,845.75

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Solution

The third proportional to 13,972.50 and 25,845.75 is: 47,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.50 : 25,845.75 = 25,845.75 : x
  2. Step 2: Convert to fraction form
    13,972.50/25,845.75 = 25,845.75/x
  3. Step 3: Cross multiply
    13,972.50x = 25,845.75 × 25,845.75
  4. Step 4: Simplify right side
    13,972.50x = 668,002,793.06
  5. Step 5: Solve for x
    x = 668,002,793.06/13,972.50
  6. Step 6: Final answer
    x = 47,808.39

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.