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Finding the Third Proportional to 38,929.36 and 84,112.17

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Solution

The third proportional to 38,929.36 and 84,112.17 is: 181,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,929.36 : 84,112.17 = 84,112.17 : x
  2. Step 2: Convert to fraction form
    38,929.36/84,112.17 = 84,112.17/x
  3. Step 3: Cross multiply
    38,929.36x = 84,112.17 × 84,112.17
  4. Step 4: Simplify right side
    38,929.36x = 7,074,857,457.53
  5. Step 5: Solve for x
    x = 7,074,857,457.53/38,929.36
  6. Step 6: Final answer
    x = 181,735.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.