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Finding the Third Proportional to 6,405 and 13,701

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Solution

The third proportional to 6,405 and 13,701 is: 29,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405 : 13,701 = 13,701 : x
  2. Step 2: Convert to fraction form
    6,405/13,701 = 13,701/x
  3. Step 3: Cross multiply
    6,405x = 13,701 × 13,701
  4. Step 4: Simplify right side
    6,405x = 187,717,401
  5. Step 5: Solve for x
    x = 187,717,401/6,405
  6. Step 6: Final answer
    x = 29,307.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.