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Finding the Third Proportional to 15,842 and 33,619

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Solution

The third proportional to 15,842 and 33,619 is: 71,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842 : 33,619 = 33,619 : x
  2. Step 2: Convert to fraction form
    15,842/33,619 = 33,619/x
  3. Step 3: Cross multiply
    15,842x = 33,619 × 33,619
  4. Step 4: Simplify right side
    15,842x = 1,130,237,161
  5. Step 5: Solve for x
    x = 1,130,237,161/15,842
  6. Step 6: Final answer
    x = 71,344.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.