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Finding the Third Proportional to 7,206 and 10,151

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Solution

The third proportional to 7,206 and 10,151 is: 14,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206 : 10,151 = 10,151 : x
  2. Step 2: Convert to fraction form
    7,206/10,151 = 10,151/x
  3. Step 3: Cross multiply
    7,206x = 10,151 × 10,151
  4. Step 4: Simplify right side
    7,206x = 103,042,801
  5. Step 5: Solve for x
    x = 103,042,801/7,206
  6. Step 6: Final answer
    x = 14,299.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.