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Finding the Third Proportional to 11,928 and 25,907.50

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Solution

The third proportional to 11,928 and 25,907.50 is: 56,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928 : 25,907.50 = 25,907.50 : x
  2. Step 2: Convert to fraction form
    11,928/25,907.50 = 25,907.50/x
  3. Step 3: Cross multiply
    11,928x = 25,907.50 × 25,907.50
  4. Step 4: Simplify right side
    11,928x = 671,198,556.25
  5. Step 5: Solve for x
    x = 671,198,556.25/11,928
  6. Step 6: Final answer
    x = 56,270.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.