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Finding the Third Proportional to 15,411 and 33,281

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Solution

The third proportional to 15,411 and 33,281 is: 71,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411 : 33,281 = 33,281 : x
  2. Step 2: Convert to fraction form
    15,411/33,281 = 33,281/x
  3. Step 3: Cross multiply
    15,411x = 33,281 × 33,281
  4. Step 4: Simplify right side
    15,411x = 1,107,624,961
  5. Step 5: Solve for x
    x = 1,107,624,961/15,411
  6. Step 6: Final answer
    x = 71,872.36

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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.