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Finding the Third Proportional to 4,326.09 and 6,186.28

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Solution

The third proportional to 4,326.09 and 6,186.28 is: 8,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.09 : 6,186.28 = 6,186.28 : x
  2. Step 2: Convert to fraction form
    4,326.09/6,186.28 = 6,186.28/x
  3. Step 3: Cross multiply
    4,326.09x = 6,186.28 × 6,186.28
  4. Step 4: Simplify right side
    4,326.09x = 38,270,075.70
  5. Step 5: Solve for x
    x = 38,270,075.70/4,326.09
  6. Step 6: Final answer
    x = 8,846.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.