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Finding the Third Proportional to 9,096.75 and 11,670.75

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Solution

The third proportional to 9,096.75 and 11,670.75 is: 14,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.75 : 11,670.75 = 11,670.75 : x
  2. Step 2: Convert to fraction form
    9,096.75/11,670.75 = 11,670.75/x
  3. Step 3: Cross multiply
    9,096.75x = 11,670.75 × 11,670.75
  4. Step 4: Simplify right side
    9,096.75x = 136,206,405.56
  5. Step 5: Solve for x
    x = 136,206,405.56/9,096.75
  6. Step 6: Final answer
    x = 14,973.08

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.