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Finding the Third Proportional to 11,164.50 and 23,150.25

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Solution

The third proportional to 11,164.50 and 23,150.25 is: 48,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.50 : 23,150.25 = 23,150.25 : x
  2. Step 2: Convert to fraction form
    11,164.50/23,150.25 = 23,150.25/x
  3. Step 3: Cross multiply
    11,164.50x = 23,150.25 × 23,150.25
  4. Step 4: Simplify right side
    11,164.50x = 535,934,075.06
  5. Step 5: Solve for x
    x = 535,934,075.06/11,164.50
  6. Step 6: Final answer
    x = 48,003.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.