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Finding the Third Proportional to 2,907 and 6,159

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Solution

The third proportional to 2,907 and 6,159 is: 13,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907 : 6,159 = 6,159 : x
  2. Step 2: Convert to fraction form
    2,907/6,159 = 6,159/x
  3. Step 3: Cross multiply
    2,907x = 6,159 × 6,159
  4. Step 4: Simplify right side
    2,907x = 37,933,281
  5. Step 5: Solve for x
    x = 37,933,281/2,907
  6. Step 6: Final answer
    x = 13,048.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.