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Finding the Third Proportional to 35,750 and 76,954

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Solution

The third proportional to 35,750 and 76,954 is: 165,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,750 : 76,954 = 76,954 : x
  2. Step 2: Convert to fraction form
    35,750/76,954 = 76,954/x
  3. Step 3: Cross multiply
    35,750x = 76,954 × 76,954
  4. Step 4: Simplify right side
    35,750x = 5,921,918,116
  5. Step 5: Solve for x
    x = 5,921,918,116/35,750
  6. Step 6: Final answer
    x = 165,648.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.