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Finding the Third Proportional to 49,980 and 74,828

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Solution

The third proportional to 49,980 and 74,828 is: 112,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,980 : 74,828 = 74,828 : x
  2. Step 2: Convert to fraction form
    49,980/74,828 = 74,828/x
  3. Step 3: Cross multiply
    49,980x = 74,828 × 74,828
  4. Step 4: Simplify right side
    49,980x = 5,599,229,584
  5. Step 5: Solve for x
    x = 5,599,229,584/49,980
  6. Step 6: Final answer
    x = 112,029.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.