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Finding the Third Proportional to 6,021.84 and 6,790.92

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Solution

The third proportional to 6,021.84 and 6,790.92 is: 7,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.84 : 6,790.92 = 6,790.92 : x
  2. Step 2: Convert to fraction form
    6,021.84/6,790.92 = 6,790.92/x
  3. Step 3: Cross multiply
    6,021.84x = 6,790.92 × 6,790.92
  4. Step 4: Simplify right side
    6,021.84x = 46,116,619.91
  5. Step 5: Solve for x
    x = 46,116,619.91/6,021.84
  6. Step 6: Final answer
    x = 7,658.22

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.