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Finding the Third Proportional to 10,946 and 16,907

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Solution

The third proportional to 10,946 and 16,907 is: 26,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946 : 16,907 = 16,907 : x
  2. Step 2: Convert to fraction form
    10,946/16,907 = 16,907/x
  3. Step 3: Cross multiply
    10,946x = 16,907 × 16,907
  4. Step 4: Simplify right side
    10,946x = 285,846,649
  5. Step 5: Solve for x
    x = 285,846,649/10,946
  6. Step 6: Final answer
    x = 26,114.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.