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Finding the Third Proportional to 5,194.25 and 11,180.50

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Solution

The third proportional to 5,194.25 and 11,180.50 is: 24,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.25 : 11,180.50 = 11,180.50 : x
  2. Step 2: Convert to fraction form
    5,194.25/11,180.50 = 11,180.50/x
  3. Step 3: Cross multiply
    5,194.25x = 11,180.50 × 11,180.50
  4. Step 4: Simplify right side
    5,194.25x = 125,003,580.25
  5. Step 5: Solve for x
    x = 125,003,580.25/5,194.25
  6. Step 6: Final answer
    x = 24,065.76

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1.5x scale

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.