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Finding the Third Proportional to 28,162 and 59,764

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Solution

The third proportional to 28,162 and 59,764 is: 126,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,162 : 59,764 = 59,764 : x
  2. Step 2: Convert to fraction form
    28,162/59,764 = 59,764/x
  3. Step 3: Cross multiply
    28,162x = 59,764 × 59,764
  4. Step 4: Simplify right side
    28,162x = 3,571,735,696
  5. Step 5: Solve for x
    x = 3,571,735,696/28,162
  6. Step 6: Final answer
    x = 126,828.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.