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Finding the Third Proportional to 4,860 and 11,646

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Solution

The third proportional to 4,860 and 11,646 is: 27,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860 : 11,646 = 11,646 : x
  2. Step 2: Convert to fraction form
    4,860/11,646 = 11,646/x
  3. Step 3: Cross multiply
    4,860x = 11,646 × 11,646
  4. Step 4: Simplify right side
    4,860x = 135,629,316
  5. Step 5: Solve for x
    x = 135,629,316/4,860
  6. Step 6: Final answer
    x = 27,907.27

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.