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Finding the Third Proportional to 39,674 and 82,264

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Solution

The third proportional to 39,674 and 82,264 is: 170,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,674 : 82,264 = 82,264 : x
  2. Step 2: Convert to fraction form
    39,674/82,264 = 82,264/x
  3. Step 3: Cross multiply
    39,674x = 82,264 × 82,264
  4. Step 4: Simplify right side
    39,674x = 6,767,365,696
  5. Step 5: Solve for x
    x = 6,767,365,696/39,674
  6. Step 6: Final answer
    x = 170,574.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.