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Finding the Third Proportional to 23,218 and 41,828

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Solution

The third proportional to 23,218 and 41,828 is: 75,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218 : 41,828 = 41,828 : x
  2. Step 2: Convert to fraction form
    23,218/41,828 = 41,828/x
  3. Step 3: Cross multiply
    23,218x = 41,828 × 41,828
  4. Step 4: Simplify right side
    23,218x = 1,749,581,584
  5. Step 5: Solve for x
    x = 1,749,581,584/23,218
  6. Step 6: Final answer
    x = 75,354.53

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.