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Finding the Third Proportional to 2,909 and 6,277

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Solution

The third proportional to 2,909 and 6,277 is: 13,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909 : 6,277 = 6,277 : x
  2. Step 2: Convert to fraction form
    2,909/6,277 = 6,277/x
  3. Step 3: Cross multiply
    2,909x = 6,277 × 6,277
  4. Step 4: Simplify right side
    2,909x = 39,400,729
  5. Step 5: Solve for x
    x = 39,400,729/2,909
  6. Step 6: Final answer
    x = 13,544.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.