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Finding the Third Proportional to 5,363 and 8,201

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Solution

The third proportional to 5,363 and 8,201 is: 12,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363 : 8,201 = 8,201 : x
  2. Step 2: Convert to fraction form
    5,363/8,201 = 8,201/x
  3. Step 3: Cross multiply
    5,363x = 8,201 × 8,201
  4. Step 4: Simplify right side
    5,363x = 67,256,401
  5. Step 5: Solve for x
    x = 67,256,401/5,363
  6. Step 6: Final answer
    x = 12,540.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.