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Finding the Third Proportional to 3,091 and 6,437

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Solution

The third proportional to 3,091 and 6,437 is: 13,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091 : 6,437 = 6,437 : x
  2. Step 2: Convert to fraction form
    3,091/6,437 = 6,437/x
  3. Step 3: Cross multiply
    3,091x = 6,437 × 6,437
  4. Step 4: Simplify right side
    3,091x = 41,434,969
  5. Step 5: Solve for x
    x = 41,434,969/3,091
  6. Step 6: Final answer
    x = 13,405.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.