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Finding the Third Proportional to 1,909 and 4,462

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Solution

The third proportional to 1,909 and 4,462 is: 10,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909 : 4,462 = 4,462 : x
  2. Step 2: Convert to fraction form
    1,909/4,462 = 4,462/x
  3. Step 3: Cross multiply
    1,909x = 4,462 × 4,462
  4. Step 4: Simplify right side
    1,909x = 19,909,444
  5. Step 5: Solve for x
    x = 19,909,444/1,909
  6. Step 6: Final answer
    x = 10,429.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.