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Finding the Third Proportional to 16,335 and 33,662.25

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Solution

The third proportional to 16,335 and 33,662.25 is: 69,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335 : 33,662.25 = 33,662.25 : x
  2. Step 2: Convert to fraction form
    16,335/33,662.25 = 33,662.25/x
  3. Step 3: Cross multiply
    16,335x = 33,662.25 × 33,662.25
  4. Step 4: Simplify right side
    16,335x = 1,133,147,075.06
  5. Step 5: Solve for x
    x = 1,133,147,075.06/16,335
  6. Step 6: Final answer
    x = 69,369.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.