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Finding the Third Proportional to 4,090.88 and 8,825.44

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Solution

The third proportional to 4,090.88 and 8,825.44 is: 19,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.88 : 8,825.44 = 8,825.44 : x
  2. Step 2: Convert to fraction form
    4,090.88/8,825.44 = 8,825.44/x
  3. Step 3: Cross multiply
    4,090.88x = 8,825.44 × 8,825.44
  4. Step 4: Simplify right side
    4,090.88x = 77,888,347.07
  5. Step 5: Solve for x
    x = 77,888,347.07/4,090.88
  6. Step 6: Final answer
    x = 19,039.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.