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Finding the Third Proportional to 14,103 and 33,410

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Solution

The third proportional to 14,103 and 33,410 is: 79,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103 : 33,410 = 33,410 : x
  2. Step 2: Convert to fraction form
    14,103/33,410 = 33,410/x
  3. Step 3: Cross multiply
    14,103x = 33,410 × 33,410
  4. Step 4: Simplify right side
    14,103x = 1,116,228,100
  5. Step 5: Solve for x
    x = 1,116,228,100/14,103
  6. Step 6: Final answer
    x = 79,148.27

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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.