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Finding the Third Proportional to 5,401 and 8,486

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Solution

The third proportional to 5,401 and 8,486 is: 13,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401 : 8,486 = 8,486 : x
  2. Step 2: Convert to fraction form
    5,401/8,486 = 8,486/x
  3. Step 3: Cross multiply
    5,401x = 8,486 × 8,486
  4. Step 4: Simplify right side
    5,401x = 72,012,196
  5. Step 5: Solve for x
    x = 72,012,196/5,401
  6. Step 6: Final answer
    x = 13,333.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.