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Finding the Third Proportional to 9,096.75 and 18,672.75

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Solution

The third proportional to 9,096.75 and 18,672.75 is: 38,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.75 : 18,672.75 = 18,672.75 : x
  2. Step 2: Convert to fraction form
    9,096.75/18,672.75 = 18,672.75/x
  3. Step 3: Cross multiply
    9,096.75x = 18,672.75 × 18,672.75
  4. Step 4: Simplify right side
    9,096.75x = 348,671,592.56
  5. Step 5: Solve for x
    x = 348,671,592.56/9,096.75
  6. Step 6: Final answer
    x = 38,329.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.