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Finding the Third Proportional to 2,109.94 and 4,884.47

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Solution

The third proportional to 2,109.94 and 4,884.47 is: 11,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.94 : 4,884.47 = 4,884.47 : x
  2. Step 2: Convert to fraction form
    2,109.94/4,884.47 = 4,884.47/x
  3. Step 3: Cross multiply
    2,109.94x = 4,884.47 × 4,884.47
  4. Step 4: Simplify right side
    2,109.94x = 23,858,034.97
  5. Step 5: Solve for x
    x = 23,858,034.97/2,109.94
  6. Step 6: Final answer
    x = 11,307.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.