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Finding the Third Proportional to 9,640 and 15,954

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Solution

The third proportional to 9,640 and 15,954 is: 26,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640 : 15,954 = 15,954 : x
  2. Step 2: Convert to fraction form
    9,640/15,954 = 15,954/x
  3. Step 3: Cross multiply
    9,640x = 15,954 × 15,954
  4. Step 4: Simplify right side
    9,640x = 254,530,116
  5. Step 5: Solve for x
    x = 254,530,116/9,640
  6. Step 6: Final answer
    x = 26,403.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.