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Finding the Third Proportional to 11,911.22 and 25,406.16

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Solution

The third proportional to 11,911.22 and 25,406.16 is: 54,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.22 : 25,406.16 = 25,406.16 : x
  2. Step 2: Convert to fraction form
    11,911.22/25,406.16 = 25,406.16/x
  3. Step 3: Cross multiply
    11,911.22x = 25,406.16 × 25,406.16
  4. Step 4: Simplify right side
    11,911.22x = 645,472,775.40
  5. Step 5: Solve for x
    x = 645,472,775.40/11,911.22
  6. Step 6: Final answer
    x = 54,190.32

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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.