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Finding the Third Proportional to 7,000 and 14,306

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Solution

The third proportional to 7,000 and 14,306 is: 29,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000 : 14,306 = 14,306 : x
  2. Step 2: Convert to fraction form
    7,000/14,306 = 14,306/x
  3. Step 3: Cross multiply
    7,000x = 14,306 × 14,306
  4. Step 4: Simplify right side
    7,000x = 204,661,636
  5. Step 5: Solve for x
    x = 204,661,636/7,000
  6. Step 6: Final answer
    x = 29,237.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.