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Finding the Third Proportional to 5,949 and 12,811.50

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Solution

The third proportional to 5,949 and 12,811.50 is: 27,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949 : 12,811.50 = 12,811.50 : x
  2. Step 2: Convert to fraction form
    5,949/12,811.50 = 12,811.50/x
  3. Step 3: Cross multiply
    5,949x = 12,811.50 × 12,811.50
  4. Step 4: Simplify right side
    5,949x = 164,134,532.25
  5. Step 5: Solve for x
    x = 164,134,532.25/5,949
  6. Step 6: Final answer
    x = 27,590.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.