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Finding the Third Proportional to 6,036 and 8,074.50

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Solution

The third proportional to 6,036 and 8,074.50 is: 10,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036 : 8,074.50 = 8,074.50 : x
  2. Step 2: Convert to fraction form
    6,036/8,074.50 = 8,074.50/x
  3. Step 3: Cross multiply
    6,036x = 8,074.50 × 8,074.50
  4. Step 4: Simplify right side
    6,036x = 65,197,550.25
  5. Step 5: Solve for x
    x = 65,197,550.25/6,036
  6. Step 6: Final answer
    x = 10,801.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.