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Finding the Third Proportional to 13,828.50 and 18,774

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Solution

The third proportional to 13,828.50 and 18,774 is: 25,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.50 : 18,774 = 18,774 : x
  2. Step 2: Convert to fraction form
    13,828.50/18,774 = 18,774/x
  3. Step 3: Cross multiply
    13,828.50x = 18,774 × 18,774
  4. Step 4: Simplify right side
    13,828.50x = 352,463,076
  5. Step 5: Solve for x
    x = 352,463,076/13,828.50
  6. Step 6: Final answer
    x = 25,488.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.