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Finding the Third Proportional to 4,164.44 and 8,946.44

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Solution

The third proportional to 4,164.44 and 8,946.44 is: 19,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.44 : 8,946.44 = 8,946.44 : x
  2. Step 2: Convert to fraction form
    4,164.44/8,946.44 = 8,946.44/x
  3. Step 3: Cross multiply
    4,164.44x = 8,946.44 × 8,946.44
  4. Step 4: Simplify right side
    4,164.44x = 80,038,743.94
  5. Step 5: Solve for x
    x = 80,038,743.94/4,164.44
  6. Step 6: Final answer
    x = 19,219.58

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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.