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Finding the Third Proportional to 7,702 and 11,945

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Solution

The third proportional to 7,702 and 11,945 is: 18,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702 : 11,945 = 11,945 : x
  2. Step 2: Convert to fraction form
    7,702/11,945 = 11,945/x
  3. Step 3: Cross multiply
    7,702x = 11,945 × 11,945
  4. Step 4: Simplify right side
    7,702x = 142,683,025
  5. Step 5: Solve for x
    x = 142,683,025/7,702
  6. Step 6: Final answer
    x = 18,525.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.