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Finding the Third Proportional to 38,354 and 83,828

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Solution

The third proportional to 38,354 and 83,828 is: 183,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,354 : 83,828 = 83,828 : x
  2. Step 2: Convert to fraction form
    38,354/83,828 = 83,828/x
  3. Step 3: Cross multiply
    38,354x = 83,828 × 83,828
  4. Step 4: Simplify right side
    38,354x = 7,027,133,584
  5. Step 5: Solve for x
    x = 7,027,133,584/38,354
  6. Step 6: Final answer
    x = 183,217.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.