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Finding the Third Proportional to 35,015.25 and 76,833

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Solution

The third proportional to 35,015.25 and 76,833 is: 168,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,015.25 : 76,833 = 76,833 : x
  2. Step 2: Convert to fraction form
    35,015.25/76,833 = 76,833/x
  3. Step 3: Cross multiply
    35,015.25x = 76,833 × 76,833
  4. Step 4: Simplify right side
    35,015.25x = 5,903,309,889
  5. Step 5: Solve for x
    x = 5,903,309,889/35,015.25
  6. Step 6: Final answer
    x = 168,592.54

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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.