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Finding the Third Proportional to 8,322.75 and 19,136.25

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Solution

The third proportional to 8,322.75 and 19,136.25 is: 43,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.75 : 19,136.25 = 19,136.25 : x
  2. Step 2: Convert to fraction form
    8,322.75/19,136.25 = 19,136.25/x
  3. Step 3: Cross multiply
    8,322.75x = 19,136.25 × 19,136.25
  4. Step 4: Simplify right side
    8,322.75x = 366,196,064.06
  5. Step 5: Solve for x
    x = 366,196,064.06/8,322.75
  6. Step 6: Final answer
    x = 43,999.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.