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Finding the Third Proportional to 9,046.50 and 18,774.75

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Solution

The third proportional to 9,046.50 and 18,774.75 is: 38,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.50 : 18,774.75 = 18,774.75 : x
  2. Step 2: Convert to fraction form
    9,046.50/18,774.75 = 18,774.75/x
  3. Step 3: Cross multiply
    9,046.50x = 18,774.75 × 18,774.75
  4. Step 4: Simplify right side
    9,046.50x = 352,491,237.56
  5. Step 5: Solve for x
    x = 352,491,237.56/9,046.50
  6. Step 6: Final answer
    x = 38,964.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.