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Finding the Third Proportional to 6,307.88 and 11,476.69

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Solution

The third proportional to 6,307.88 and 11,476.69 is: 20,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.88 : 11,476.69 = 11,476.69 : x
  2. Step 2: Convert to fraction form
    6,307.88/11,476.69 = 11,476.69/x
  3. Step 3: Cross multiply
    6,307.88x = 11,476.69 × 11,476.69
  4. Step 4: Simplify right side
    6,307.88x = 131,714,355.97
  5. Step 5: Solve for x
    x = 131,714,355.97/6,307.88
  6. Step 6: Final answer
    x = 20,880.94

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.