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Finding the Third Proportional to 9,255.75 and 9,954.75

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Solution

The third proportional to 9,255.75 and 9,954.75 is: 10,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.75 : 9,954.75 = 9,954.75 : x
  2. Step 2: Convert to fraction form
    9,255.75/9,954.75 = 9,954.75/x
  3. Step 3: Cross multiply
    9,255.75x = 9,954.75 × 9,954.75
  4. Step 4: Simplify right side
    9,255.75x = 99,097,047.56
  5. Step 5: Solve for x
    x = 99,097,047.56/9,255.75
  6. Step 6: Final answer
    x = 10,706.54

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.