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Finding the Third Proportional to 7,695 and 15,161

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Solution

The third proportional to 7,695 and 15,161 is: 29,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695 : 15,161 = 15,161 : x
  2. Step 2: Convert to fraction form
    7,695/15,161 = 15,161/x
  3. Step 3: Cross multiply
    7,695x = 15,161 × 15,161
  4. Step 4: Simplify right side
    7,695x = 229,855,921
  5. Step 5: Solve for x
    x = 229,855,921/7,695
  6. Step 6: Final answer
    x = 29,870.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.