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Finding the Third Proportional to 4,181.94 and 9,184.01

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Solution

The third proportional to 4,181.94 and 9,184.01 is: 20,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.94 : 9,184.01 = 9,184.01 : x
  2. Step 2: Convert to fraction form
    4,181.94/9,184.01 = 9,184.01/x
  3. Step 3: Cross multiply
    4,181.94x = 9,184.01 × 9,184.01
  4. Step 4: Simplify right side
    4,181.94x = 84,345,999.50
  5. Step 5: Solve for x
    x = 84,345,999.50/4,181.94
  6. Step 6: Final answer
    x = 20,169.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.