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Finding the Third Proportional to 7,505.30 and 16,170.33

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Solution

The third proportional to 7,505.30 and 16,170.33 is: 34,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.30 : 16,170.33 = 16,170.33 : x
  2. Step 2: Convert to fraction form
    7,505.30/16,170.33 = 16,170.33/x
  3. Step 3: Cross multiply
    7,505.30x = 16,170.33 × 16,170.33
  4. Step 4: Simplify right side
    7,505.30x = 261,479,511.67
  5. Step 5: Solve for x
    x = 261,479,511.67/7,505.30
  6. Step 6: Final answer
    x = 34,839.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.