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Finding the Third Proportional to 15,394 and 33,206

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Solution

The third proportional to 15,394 and 33,206 is: 71,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,394 : 33,206 = 33,206 : x
  2. Step 2: Convert to fraction form
    15,394/33,206 = 33,206/x
  3. Step 3: Cross multiply
    15,394x = 33,206 × 33,206
  4. Step 4: Simplify right side
    15,394x = 1,102,638,436
  5. Step 5: Solve for x
    x = 1,102,638,436/15,394
  6. Step 6: Final answer
    x = 71,627.81

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