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Finding the Third Proportional to 8,889 and 19,144.50

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Solution

The third proportional to 8,889 and 19,144.50 is: 41,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,889 : 19,144.50 = 19,144.50 : x
  2. Step 2: Convert to fraction form
    8,889/19,144.50 = 19,144.50/x
  3. Step 3: Cross multiply
    8,889x = 19,144.50 × 19,144.50
  4. Step 4: Simplify right side
    8,889x = 366,511,880.25
  5. Step 5: Solve for x
    x = 366,511,880.25/8,889
  6. Step 6: Final answer
    x = 41,232.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.