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Finding the Third Proportional to 16,261 and 33,290

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Solution

The third proportional to 16,261 and 33,290 is: 68,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261 : 33,290 = 33,290 : x
  2. Step 2: Convert to fraction form
    16,261/33,290 = 33,290/x
  3. Step 3: Cross multiply
    16,261x = 33,290 × 33,290
  4. Step 4: Simplify right side
    16,261x = 1,108,224,100
  5. Step 5: Solve for x
    x = 1,108,224,100/16,261
  6. Step 6: Final answer
    x = 68,152.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.