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Finding the Third Proportional to 16,962 and 35,436

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Solution

The third proportional to 16,962 and 35,436 is: 74,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962 : 35,436 = 35,436 : x
  2. Step 2: Convert to fraction form
    16,962/35,436 = 35,436/x
  3. Step 3: Cross multiply
    16,962x = 35,436 × 35,436
  4. Step 4: Simplify right side
    16,962x = 1,255,710,096
  5. Step 5: Solve for x
    x = 1,255,710,096/16,962
  6. Step 6: Final answer
    x = 74,030.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.