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Finding the Third Proportional to 25,986 and 38,007

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Solution

The third proportional to 25,986 and 38,007 is: 55,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986 : 38,007 = 38,007 : x
  2. Step 2: Convert to fraction form
    25,986/38,007 = 38,007/x
  3. Step 3: Cross multiply
    25,986x = 38,007 × 38,007
  4. Step 4: Simplify right side
    25,986x = 1,444,532,049
  5. Step 5: Solve for x
    x = 1,444,532,049/25,986
  6. Step 6: Final answer
    x = 55,588.86

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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.