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Finding the Third Proportional to 14,106 and 33,420

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Solution

The third proportional to 14,106 and 33,420 is: 79,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106 : 33,420 = 33,420 : x
  2. Step 2: Convert to fraction form
    14,106/33,420 = 33,420/x
  3. Step 3: Cross multiply
    14,106x = 33,420 × 33,420
  4. Step 4: Simplify right side
    14,106x = 1,116,896,400
  5. Step 5: Solve for x
    x = 1,116,896,400/14,106
  6. Step 6: Final answer
    x = 79,178.82

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.