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Finding the Third Proportional to 35,341.31 and 76,924.69

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Solution

The third proportional to 35,341.31 and 76,924.69 is: 167,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,341.31 : 76,924.69 = 76,924.69 : x
  2. Step 2: Convert to fraction form
    35,341.31/76,924.69 = 76,924.69/x
  3. Step 3: Cross multiply
    35,341.31x = 76,924.69 × 76,924.69
  4. Step 4: Simplify right side
    35,341.31x = 5,917,407,546.97
  5. Step 5: Solve for x
    x = 5,917,407,546.97/35,341.31
  6. Step 6: Final answer
    x = 167,435.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.