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Finding the Third Proportional to 8,644.50 and 13,808.25

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Solution

The third proportional to 8,644.50 and 13,808.25 is: 22,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.50 : 13,808.25 = 13,808.25 : x
  2. Step 2: Convert to fraction form
    8,644.50/13,808.25 = 13,808.25/x
  3. Step 3: Cross multiply
    8,644.50x = 13,808.25 × 13,808.25
  4. Step 4: Simplify right side
    8,644.50x = 190,667,768.06
  5. Step 5: Solve for x
    x = 190,667,768.06/8,644.50
  6. Step 6: Final answer
    x = 22,056.54

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.