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Finding the Third Proportional to 11,014.02 and 23,412.01

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Solution

The third proportional to 11,014.02 and 23,412.01 is: 49,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.02 : 23,412.01 = 23,412.01 : x
  2. Step 2: Convert to fraction form
    11,014.02/23,412.01 = 23,412.01/x
  3. Step 3: Cross multiply
    11,014.02x = 23,412.01 × 23,412.01
  4. Step 4: Simplify right side
    11,014.02x = 548,122,018.36
  5. Step 5: Solve for x
    x = 548,122,018.36/11,014.02
  6. Step 6: Final answer
    x = 49,765.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.