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Finding the Third Proportional to 6,292.69 and 6,976.13

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Solution

The third proportional to 6,292.69 and 6,976.13 is: 7,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.69 : 6,976.13 = 6,976.13 : x
  2. Step 2: Convert to fraction form
    6,292.69/6,976.13 = 6,976.13/x
  3. Step 3: Cross multiply
    6,292.69x = 6,976.13 × 6,976.13
  4. Step 4: Simplify right side
    6,292.69x = 48,666,320.02
  5. Step 5: Solve for x
    x = 48,666,320.02/6,292.69
  6. Step 6: Final answer
    x = 7,733.79

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.