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Finding the Third Proportional to 13,033.50 and 26,994

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Solution

The third proportional to 13,033.50 and 26,994 is: 55,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.50 : 26,994 = 26,994 : x
  2. Step 2: Convert to fraction form
    13,033.50/26,994 = 26,994/x
  3. Step 3: Cross multiply
    13,033.50x = 26,994 × 26,994
  4. Step 4: Simplify right side
    13,033.50x = 728,676,036
  5. Step 5: Solve for x
    x = 728,676,036/13,033.50
  6. Step 6: Final answer
    x = 55,907.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.