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Finding the Third Proportional to 17,736.19 and 38,802.94

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Solution

The third proportional to 17,736.19 and 38,802.94 is: 84,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736.19 : 38,802.94 = 38,802.94 : x
  2. Step 2: Convert to fraction form
    17,736.19/38,802.94 = 38,802.94/x
  3. Step 3: Cross multiply
    17,736.19x = 38,802.94 × 38,802.94
  4. Step 4: Simplify right side
    17,736.19x = 1,505,667,958.63
  5. Step 5: Solve for x
    x = 1,505,667,958.63/17,736.19
  6. Step 6: Final answer
    x = 84,892.42

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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.