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Finding the Third Proportional to 11,100 and 23,774.44

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Solution

The third proportional to 11,100 and 23,774.44 is: 50,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100 : 23,774.44 = 23,774.44 : x
  2. Step 2: Convert to fraction form
    11,100/23,774.44 = 23,774.44/x
  3. Step 3: Cross multiply
    11,100x = 23,774.44 × 23,774.44
  4. Step 4: Simplify right side
    11,100x = 565,223,878.44
  5. Step 5: Solve for x
    x = 565,223,878.44/11,100
  6. Step 6: Final answer
    x = 50,921.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.