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Finding the Third Proportional to 16,182 and 35,212.50

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Solution

The third proportional to 16,182 and 35,212.50 is: 76,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182 : 35,212.50 = 35,212.50 : x
  2. Step 2: Convert to fraction form
    16,182/35,212.50 = 35,212.50/x
  3. Step 3: Cross multiply
    16,182x = 35,212.50 × 35,212.50
  4. Step 4: Simplify right side
    16,182x = 1,239,920,156.25
  5. Step 5: Solve for x
    x = 1,239,920,156.25/16,182
  6. Step 6: Final answer
    x = 76,623.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.