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Finding the Third Proportional to 6,090.19 and 7,069.78

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Solution

The third proportional to 6,090.19 and 7,069.78 is: 8,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.19 : 7,069.78 = 7,069.78 : x
  2. Step 2: Convert to fraction form
    6,090.19/7,069.78 = 7,069.78/x
  3. Step 3: Cross multiply
    6,090.19x = 7,069.78 × 7,069.78
  4. Step 4: Simplify right side
    6,090.19x = 49,981,806.92
  5. Step 5: Solve for x
    x = 49,981,806.92/6,090.19
  6. Step 6: Final answer
    x = 8,206.94

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.