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Finding the Third Proportional to 16,400 and 33,056

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Solution

The third proportional to 16,400 and 33,056 is: 66,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400 : 33,056 = 33,056 : x
  2. Step 2: Convert to fraction form
    16,400/33,056 = 33,056/x
  3. Step 3: Cross multiply
    16,400x = 33,056 × 33,056
  4. Step 4: Simplify right side
    16,400x = 1,092,699,136
  5. Step 5: Solve for x
    x = 1,092,699,136/16,400
  6. Step 6: Final answer
    x = 66,628.00

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.