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Finding the Third Proportional to 10,813.50 and 23,975.44

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Solution

The third proportional to 10,813.50 and 23,975.44 is: 53,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.50 : 23,975.44 = 23,975.44 : x
  2. Step 2: Convert to fraction form
    10,813.50/23,975.44 = 23,975.44/x
  3. Step 3: Cross multiply
    10,813.50x = 23,975.44 × 23,975.44
  4. Step 4: Simplify right side
    10,813.50x = 574,821,603.32
  5. Step 5: Solve for x
    x = 574,821,603.32/10,813.50
  6. Step 6: Final answer
    x = 53,157.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.