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Finding the Third Proportional to 44,606 and 82,828

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Solution

The third proportional to 44,606 and 82,828 is: 153,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,606 : 82,828 = 82,828 : x
  2. Step 2: Convert to fraction form
    44,606/82,828 = 82,828/x
  3. Step 3: Cross multiply
    44,606x = 82,828 × 82,828
  4. Step 4: Simplify right side
    44,606x = 6,860,477,584
  5. Step 5: Solve for x
    x = 6,860,477,584/44,606
  6. Step 6: Final answer
    x = 153,801.68

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.