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Finding the Third Proportional to 15,406 and 33,271

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Solution

The third proportional to 15,406 and 33,271 is: 71,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406 : 33,271 = 33,271 : x
  2. Step 2: Convert to fraction form
    15,406/33,271 = 33,271/x
  3. Step 3: Cross multiply
    15,406x = 33,271 × 33,271
  4. Step 4: Simplify right side
    15,406x = 1,106,959,441
  5. Step 5: Solve for x
    x = 1,106,959,441/15,406
  6. Step 6: Final answer
    x = 71,852.49

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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.