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Finding the Third Proportional to 5,197.50 and 8,204.63

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Solution

The third proportional to 5,197.50 and 8,204.63 is: 12,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.50 : 8,204.63 = 8,204.63 : x
  2. Step 2: Convert to fraction form
    5,197.50/8,204.63 = 8,204.63/x
  3. Step 3: Cross multiply
    5,197.50x = 8,204.63 × 8,204.63
  4. Step 4: Simplify right side
    5,197.50x = 67,315,871.39
  5. Step 5: Solve for x
    x = 67,315,871.39/5,197.50
  6. Step 6: Final answer
    x = 12,951.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.