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Finding the Third Proportional to 4,309.88 and 9,427.22

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Solution

The third proportional to 4,309.88 and 9,427.22 is: 20,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.88 : 9,427.22 = 9,427.22 : x
  2. Step 2: Convert to fraction form
    4,309.88/9,427.22 = 9,427.22/x
  3. Step 3: Cross multiply
    4,309.88x = 9,427.22 × 9,427.22
  4. Step 4: Simplify right side
    4,309.88x = 88,872,453.36
  5. Step 5: Solve for x
    x = 88,872,453.36/4,309.88
  6. Step 6: Final answer
    x = 20,620.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.