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Finding the Third Proportional to 3,091 and 6,873.50

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Solution

The third proportional to 3,091 and 6,873.50 is: 15,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091 : 6,873.50 = 6,873.50 : x
  2. Step 2: Convert to fraction form
    3,091/6,873.50 = 6,873.50/x
  3. Step 3: Cross multiply
    3,091x = 6,873.50 × 6,873.50
  4. Step 4: Simplify right side
    3,091x = 47,245,002.25
  5. Step 5: Solve for x
    x = 47,245,002.25/3,091
  6. Step 6: Final answer
    x = 15,284.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.