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Finding the Third Proportional to 7,984.50 and 13,617.50

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Solution

The third proportional to 7,984.50 and 13,617.50 is: 23,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.50 : 13,617.50 = 13,617.50 : x
  2. Step 2: Convert to fraction form
    7,984.50/13,617.50 = 13,617.50/x
  3. Step 3: Cross multiply
    7,984.50x = 13,617.50 × 13,617.50
  4. Step 4: Simplify right side
    7,984.50x = 185,436,306.25
  5. Step 5: Solve for x
    x = 185,436,306.25/7,984.50
  6. Step 6: Final answer
    x = 23,224.54

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.