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Finding the Third Proportional to 5,999 and 13,074.50

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Solution

The third proportional to 5,999 and 13,074.50 is: 28,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999 : 13,074.50 = 13,074.50 : x
  2. Step 2: Convert to fraction form
    5,999/13,074.50 = 13,074.50/x
  3. Step 3: Cross multiply
    5,999x = 13,074.50 × 13,074.50
  4. Step 4: Simplify right side
    5,999x = 170,942,550.25
  5. Step 5: Solve for x
    x = 170,942,550.25/5,999
  6. Step 6: Final answer
    x = 28,495.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.