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Finding the Third Proportional to 43,728 and 93,828

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Solution

The third proportional to 43,728 and 93,828 is: 201,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,728 : 93,828 = 93,828 : x
  2. Step 2: Convert to fraction form
    43,728/93,828 = 93,828/x
  3. Step 3: Cross multiply
    43,728x = 93,828 × 93,828
  4. Step 4: Simplify right side
    43,728x = 8,803,693,584
  5. Step 5: Solve for x
    x = 8,803,693,584/43,728
  6. Step 6: Final answer
    x = 201,328.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.