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Finding the Third Proportional to 4,908.09 and 10,230.47

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Solution

The third proportional to 4,908.09 and 10,230.47 is: 21,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.09 : 10,230.47 = 10,230.47 : x
  2. Step 2: Convert to fraction form
    4,908.09/10,230.47 = 10,230.47/x
  3. Step 3: Cross multiply
    4,908.09x = 10,230.47 × 10,230.47
  4. Step 4: Simplify right side
    4,908.09x = 104,662,490.84
  5. Step 5: Solve for x
    x = 104,662,490.84/4,908.09
  6. Step 6: Final answer
    x = 21,324.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.