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Finding the Third Proportional to 6,399 and 14,013

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Solution

The third proportional to 6,399 and 14,013 is: 30,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399 : 14,013 = 14,013 : x
  2. Step 2: Convert to fraction form
    6,399/14,013 = 14,013/x
  3. Step 3: Cross multiply
    6,399x = 14,013 × 14,013
  4. Step 4: Simplify right side
    6,399x = 196,364,169
  5. Step 5: Solve for x
    x = 196,364,169/6,399
  6. Step 6: Final answer
    x = 30,686.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.