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Finding the Third Proportional to 18,095 and 25,828

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Solution

The third proportional to 18,095 and 25,828 is: 36,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,095 : 25,828 = 25,828 : x
  2. Step 2: Convert to fraction form
    18,095/25,828 = 25,828/x
  3. Step 3: Cross multiply
    18,095x = 25,828 × 25,828
  4. Step 4: Simplify right side
    18,095x = 667,085,584
  5. Step 5: Solve for x
    x = 667,085,584/18,095
  6. Step 6: Final answer
    x = 36,865.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.