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Finding the Third Proportional to 38,302 and 82,764

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Solution

The third proportional to 38,302 and 82,764 is: 178,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302 : 82,764 = 82,764 : x
  2. Step 2: Convert to fraction form
    38,302/82,764 = 82,764/x
  3. Step 3: Cross multiply
    38,302x = 82,764 × 82,764
  4. Step 4: Simplify right side
    38,302x = 6,849,879,696
  5. Step 5: Solve for x
    x = 6,849,879,696/38,302
  6. Step 6: Final answer
    x = 178,838.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.