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Finding the Third Proportional to 15,842 and 33,806

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Solution

The third proportional to 15,842 and 33,806 is: 72,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842 : 33,806 = 33,806 : x
  2. Step 2: Convert to fraction form
    15,842/33,806 = 33,806/x
  3. Step 3: Cross multiply
    15,842x = 33,806 × 33,806
  4. Step 4: Simplify right side
    15,842x = 1,142,845,636
  5. Step 5: Solve for x
    x = 1,142,845,636/15,842
  6. Step 6: Final answer
    x = 72,140.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.