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Finding the Third Proportional to 13,828 and 18,260

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Solution

The third proportional to 13,828 and 18,260 is: 24,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828 : 18,260 = 18,260 : x
  2. Step 2: Convert to fraction form
    13,828/18,260 = 18,260/x
  3. Step 3: Cross multiply
    13,828x = 18,260 × 18,260
  4. Step 4: Simplify right side
    13,828x = 333,427,600
  5. Step 5: Solve for x
    x = 333,427,600/13,828
  6. Step 6: Final answer
    x = 24,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.