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Finding the Third Proportional to 6,723.84 and 10,195.03

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Solution

The third proportional to 6,723.84 and 10,195.03 is: 15,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.84 : 10,195.03 = 10,195.03 : x
  2. Step 2: Convert to fraction form
    6,723.84/10,195.03 = 10,195.03/x
  3. Step 3: Cross multiply
    6,723.84x = 10,195.03 × 10,195.03
  4. Step 4: Simplify right side
    6,723.84x = 103,938,662.19
  5. Step 5: Solve for x
    x = 103,938,662.19/6,723.84
  6. Step 6: Final answer
    x = 15,458.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.