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Finding the Third Proportional to 4,675.50 and 11,949.75

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Solution

The third proportional to 4,675.50 and 11,949.75 is: 30,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.50 : 11,949.75 = 11,949.75 : x
  2. Step 2: Convert to fraction form
    4,675.50/11,949.75 = 11,949.75/x
  3. Step 3: Cross multiply
    4,675.50x = 11,949.75 × 11,949.75
  4. Step 4: Simplify right side
    4,675.50x = 142,796,525.06
  5. Step 5: Solve for x
    x = 142,796,525.06/4,675.50
  6. Step 6: Final answer
    x = 30,541.44

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.