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Finding the Third Proportional to 16,360 and 34,907

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Solution

The third proportional to 16,360 and 34,907 is: 74,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,360 : 34,907 = 34,907 : x
  2. Step 2: Convert to fraction form
    16,360/34,907 = 34,907/x
  3. Step 3: Cross multiply
    16,360x = 34,907 × 34,907
  4. Step 4: Simplify right side
    16,360x = 1,218,498,649
  5. Step 5: Solve for x
    x = 1,218,498,649/16,360
  6. Step 6: Final answer
    x = 74,480.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.