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Finding the Third Proportional to 18,576 and 25,984

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Solution

The third proportional to 18,576 and 25,984 is: 36,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576 : 25,984 = 25,984 : x
  2. Step 2: Convert to fraction form
    18,576/25,984 = 25,984/x
  3. Step 3: Cross multiply
    18,576x = 25,984 × 25,984
  4. Step 4: Simplify right side
    18,576x = 675,168,256
  5. Step 5: Solve for x
    x = 675,168,256/18,576
  6. Step 6: Final answer
    x = 36,346.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.