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Finding the Third Proportional to 33,528 and 62,301

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Solution

The third proportional to 33,528 and 62,301 is: 115,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,528 : 62,301 = 62,301 : x
  2. Step 2: Convert to fraction form
    33,528/62,301 = 62,301/x
  3. Step 3: Cross multiply
    33,528x = 62,301 × 62,301
  4. Step 4: Simplify right side
    33,528x = 3,881,414,601
  5. Step 5: Solve for x
    x = 3,881,414,601/33,528
  6. Step 6: Final answer
    x = 115,766.36

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.