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Finding the Third Proportional to 10,119.94 and 21,390.33

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Solution

The third proportional to 10,119.94 and 21,390.33 is: 45,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.94 : 21,390.33 = 21,390.33 : x
  2. Step 2: Convert to fraction form
    10,119.94/21,390.33 = 21,390.33/x
  3. Step 3: Cross multiply
    10,119.94x = 21,390.33 × 21,390.33
  4. Step 4: Simplify right side
    10,119.94x = 457,546,137.30
  5. Step 5: Solve for x
    x = 457,546,137.30/10,119.94
  6. Step 6: Final answer
    x = 45,212.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.