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Finding the Third Proportional to 33,528 and 53,256

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Solution

The third proportional to 33,528 and 53,256 is: 84,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,528 : 53,256 = 53,256 : x
  2. Step 2: Convert to fraction form
    33,528/53,256 = 53,256/x
  3. Step 3: Cross multiply
    33,528x = 53,256 × 53,256
  4. Step 4: Simplify right side
    33,528x = 2,836,201,536
  5. Step 5: Solve for x
    x = 2,836,201,536/33,528
  6. Step 6: Final answer
    x = 84,592.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.