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Finding the Third Proportional to 16,212.75 and 35,379.75

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Solution

The third proportional to 16,212.75 and 35,379.75 is: 77,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.75 : 35,379.75 = 35,379.75 : x
  2. Step 2: Convert to fraction form
    16,212.75/35,379.75 = 35,379.75/x
  3. Step 3: Cross multiply
    16,212.75x = 35,379.75 × 35,379.75
  4. Step 4: Simplify right side
    16,212.75x = 1,251,726,710.06
  5. Step 5: Solve for x
    x = 1,251,726,710.06/16,212.75
  6. Step 6: Final answer
    x = 77,206.32

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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.