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Finding the Third Proportional to 25,984 and 38,004

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Solution

The third proportional to 25,984 and 38,004 is: 55,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,984 : 38,004 = 38,004 : x
  2. Step 2: Convert to fraction form
    25,984/38,004 = 38,004/x
  3. Step 3: Cross multiply
    25,984x = 38,004 × 38,004
  4. Step 4: Simplify right side
    25,984x = 1,444,304,016
  5. Step 5: Solve for x
    x = 1,444,304,016/25,984
  6. Step 6: Final answer
    x = 55,584.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.