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Finding the Third Proportional to 15,496 and 33,872

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Solution

The third proportional to 15,496 and 33,872 is: 74,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496 : 33,872 = 33,872 : x
  2. Step 2: Convert to fraction form
    15,496/33,872 = 33,872/x
  3. Step 3: Cross multiply
    15,496x = 33,872 × 33,872
  4. Step 4: Simplify right side
    15,496x = 1,147,312,384
  5. Step 5: Solve for x
    x = 1,147,312,384/15,496
  6. Step 6: Final answer
    x = 74,039.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.