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Finding the Third Proportional to 9,591 and 14,885.25

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Solution

The third proportional to 9,591 and 14,885.25 is: 23,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591 : 14,885.25 = 14,885.25 : x
  2. Step 2: Convert to fraction form
    9,591/14,885.25 = 14,885.25/x
  3. Step 3: Cross multiply
    9,591x = 14,885.25 × 14,885.25
  4. Step 4: Simplify right side
    9,591x = 221,570,667.56
  5. Step 5: Solve for x
    x = 221,570,667.56/9,591
  6. Step 6: Final answer
    x = 23,101.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.