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Finding the Third Proportional to 31,482 and 68,804

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Solution

The third proportional to 31,482 and 68,804 is: 150,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482 : 68,804 = 68,804 : x
  2. Step 2: Convert to fraction form
    31,482/68,804 = 68,804/x
  3. Step 3: Cross multiply
    31,482x = 68,804 × 68,804
  4. Step 4: Simplify right side
    31,482x = 4,733,990,416
  5. Step 5: Solve for x
    x = 4,733,990,416/31,482
  6. Step 6: Final answer
    x = 150,371.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.