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Finding the Third Proportional to 6,069.94 and 6,981.19

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Solution

The third proportional to 6,069.94 and 6,981.19 is: 8,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.94 : 6,981.19 = 6,981.19 : x
  2. Step 2: Convert to fraction form
    6,069.94/6,981.19 = 6,981.19/x
  3. Step 3: Cross multiply
    6,069.94x = 6,981.19 × 6,981.19
  4. Step 4: Simplify right side
    6,069.94x = 48,736,978.91
  5. Step 5: Solve for x
    x = 48,736,978.91/6,069.94
  6. Step 6: Final answer
    x = 8,029.24

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.