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Finding the Third Proportional to 6,198.19 and 7,534.69

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Solution

The third proportional to 6,198.19 and 7,534.69 is: 9,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.19 : 7,534.69 = 7,534.69 : x
  2. Step 2: Convert to fraction form
    6,198.19/7,534.69 = 7,534.69/x
  3. Step 3: Cross multiply
    6,198.19x = 7,534.69 × 7,534.69
  4. Step 4: Simplify right side
    6,198.19x = 56,771,515.72
  5. Step 5: Solve for x
    x = 56,771,515.72/6,198.19
  6. Step 6: Final answer
    x = 9,159.37

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.