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Finding the Third Proportional to 25,128 and 33,628

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Solution

The third proportional to 25,128 and 33,628 is: 45,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,128 : 33,628 = 33,628 : x
  2. Step 2: Convert to fraction form
    25,128/33,628 = 33,628/x
  3. Step 3: Cross multiply
    25,128x = 33,628 × 33,628
  4. Step 4: Simplify right side
    25,128x = 1,130,842,384
  5. Step 5: Solve for x
    x = 1,130,842,384/25,128
  6. Step 6: Final answer
    x = 45,003.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.