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Finding the Third Proportional to 25,509 and 38,256

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Solution

The third proportional to 25,509 and 38,256 is: 57,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509 : 38,256 = 38,256 : x
  2. Step 2: Convert to fraction form
    25,509/38,256 = 38,256/x
  3. Step 3: Cross multiply
    25,509x = 38,256 × 38,256
  4. Step 4: Simplify right side
    25,509x = 1,463,521,536
  5. Step 5: Solve for x
    x = 1,463,521,536/25,509
  6. Step 6: Final answer
    x = 57,372.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.