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Finding the Third Proportional to 5,250 and 8,194.50

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Solution

The third proportional to 5,250 and 8,194.50 is: 12,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250 : 8,194.50 = 8,194.50 : x
  2. Step 2: Convert to fraction form
    5,250/8,194.50 = 8,194.50/x
  3. Step 3: Cross multiply
    5,250x = 8,194.50 × 8,194.50
  4. Step 4: Simplify right side
    5,250x = 67,149,830.25
  5. Step 5: Solve for x
    x = 67,149,830.25/5,250
  6. Step 6: Final answer
    x = 12,790.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.