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Finding the Third Proportional to 33,495 and 53,199

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Solution

The third proportional to 33,495 and 53,199 is: 84,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,495 : 53,199 = 53,199 : x
  2. Step 2: Convert to fraction form
    33,495/53,199 = 53,199/x
  3. Step 3: Cross multiply
    33,495x = 53,199 × 53,199
  4. Step 4: Simplify right side
    33,495x = 2,830,133,601
  5. Step 5: Solve for x
    x = 2,830,133,601/33,495
  6. Step 6: Final answer
    x = 84,494.21

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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.