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Finding the Third Proportional to 36,343.75 and 77,090.75

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Solution

The third proportional to 36,343.75 and 77,090.75 is: 163,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,343.75 : 77,090.75 = 77,090.75 : x
  2. Step 2: Convert to fraction form
    36,343.75/77,090.75 = 77,090.75/x
  3. Step 3: Cross multiply
    36,343.75x = 77,090.75 × 77,090.75
  4. Step 4: Simplify right side
    36,343.75x = 5,942,983,735.56
  5. Step 5: Solve for x
    x = 5,942,983,735.56/36,343.75
  6. Step 6: Final answer
    x = 163,521.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.