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Finding the Third Proportional to 7,149 and 7,869

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Solution

The third proportional to 7,149 and 7,869 is: 8,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149 : 7,869 = 7,869 : x
  2. Step 2: Convert to fraction form
    7,149/7,869 = 7,869/x
  3. Step 3: Cross multiply
    7,149x = 7,869 × 7,869
  4. Step 4: Simplify right side
    7,149x = 61,921,161
  5. Step 5: Solve for x
    x = 61,921,161/7,149
  6. Step 6: Final answer
    x = 8,661.51

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.