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Finding the Third Proportional to 6,057 and 11,263.50

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Solution

The third proportional to 6,057 and 11,263.50 is: 20,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057 : 11,263.50 = 11,263.50 : x
  2. Step 2: Convert to fraction form
    6,057/11,263.50 = 11,263.50/x
  3. Step 3: Cross multiply
    6,057x = 11,263.50 × 11,263.50
  4. Step 4: Simplify right side
    6,057x = 126,866,432.25
  5. Step 5: Solve for x
    x = 126,866,432.25/6,057
  6. Step 6: Final answer
    x = 20,945.42

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.