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Finding the Third Proportional to 8,840.25 and 19,214.44

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Solution

The third proportional to 8,840.25 and 19,214.44 is: 41,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840.25 : 19,214.44 = 19,214.44 : x
  2. Step 2: Convert to fraction form
    8,840.25/19,214.44 = 19,214.44/x
  3. Step 3: Cross multiply
    8,840.25x = 19,214.44 × 19,214.44
  4. Step 4: Simplify right side
    8,840.25x = 369,194,608.44
  5. Step 5: Solve for x
    x = 369,194,608.44/8,840.25
  6. Step 6: Final answer
    x = 41,762.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.