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Finding the Third Proportional to 4,866.75 and 11,483.44

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Solution

The third proportional to 4,866.75 and 11,483.44 is: 27,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.75 : 11,483.44 = 11,483.44 : x
  2. Step 2: Convert to fraction form
    4,866.75/11,483.44 = 11,483.44/x
  3. Step 3: Cross multiply
    4,866.75x = 11,483.44 × 11,483.44
  4. Step 4: Simplify right side
    4,866.75x = 131,869,336.82
  5. Step 5: Solve for x
    x = 131,869,336.82/4,866.75
  6. Step 6: Final answer
    x = 27,095.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.