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Finding the Third Proportional to 35,344.13 and 76,824

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Solution

The third proportional to 35,344.13 and 76,824 is: 166,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344.13 : 76,824 = 76,824 : x
  2. Step 2: Convert to fraction form
    35,344.13/76,824 = 76,824/x
  3. Step 3: Cross multiply
    35,344.13x = 76,824 × 76,824
  4. Step 4: Simplify right side
    35,344.13x = 5,901,926,976
  5. Step 5: Solve for x
    x = 5,901,926,976/35,344.13
  6. Step 6: Final answer
    x = 166,984.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.