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Finding the Third Proportional to 33,139.50 and 70,743

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Solution

The third proportional to 33,139.50 and 70,743 is: 151,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,139.50 : 70,743 = 70,743 : x
  2. Step 2: Convert to fraction form
    33,139.50/70,743 = 70,743/x
  3. Step 3: Cross multiply
    33,139.50x = 70,743 × 70,743
  4. Step 4: Simplify right side
    33,139.50x = 5,004,572,049
  5. Step 5: Solve for x
    x = 5,004,572,049/33,139.50
  6. Step 6: Final answer
    x = 151,015.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.