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Finding the Third Proportional to 15,428.25 and 33,255

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Solution

The third proportional to 15,428.25 and 33,255 is: 71,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.25 : 33,255 = 33,255 : x
  2. Step 2: Convert to fraction form
    15,428.25/33,255 = 33,255/x
  3. Step 3: Cross multiply
    15,428.25x = 33,255 × 33,255
  4. Step 4: Simplify right side
    15,428.25x = 1,105,895,025
  5. Step 5: Solve for x
    x = 1,105,895,025/15,428.25
  6. Step 6: Final answer
    x = 71,679.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.