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Finding the Third Proportional to 15,426 and 33,194.25

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Solution

The third proportional to 15,426 and 33,194.25 is: 71,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,426 : 33,194.25 = 33,194.25 : x
  2. Step 2: Convert to fraction form
    15,426/33,194.25 = 33,194.25/x
  3. Step 3: Cross multiply
    15,426x = 33,194.25 × 33,194.25
  4. Step 4: Simplify right side
    15,426x = 1,101,858,233.06
  5. Step 5: Solve for x
    x = 1,101,858,233.06/15,426
  6. Step 6: Final answer
    x = 71,428.64

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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.