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Finding the Third Proportional to 8,884.69 and 19,102.08

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Solution

The third proportional to 8,884.69 and 19,102.08 is: 41,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.69 : 19,102.08 = 19,102.08 : x
  2. Step 2: Convert to fraction form
    8,884.69/19,102.08 = 19,102.08/x
  3. Step 3: Cross multiply
    8,884.69x = 19,102.08 × 19,102.08
  4. Step 4: Simplify right side
    8,884.69x = 364,889,388.69
  5. Step 5: Solve for x
    x = 364,889,388.69/8,884.69
  6. Step 6: Final answer
    x = 41,069.47

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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.