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Finding the Third Proportional to 15,349 and 33,628

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Solution

The third proportional to 15,349 and 33,628 is: 73,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349 : 33,628 = 33,628 : x
  2. Step 2: Convert to fraction form
    15,349/33,628 = 33,628/x
  3. Step 3: Cross multiply
    15,349x = 33,628 × 33,628
  4. Step 4: Simplify right side
    15,349x = 1,130,842,384
  5. Step 5: Solve for x
    x = 1,130,842,384/15,349
  6. Step 6: Final answer
    x = 73,675.31

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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.