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Finding the Third Proportional to 33,139.13 and 70,652.25

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Solution

The third proportional to 33,139.13 and 70,652.25 is: 150,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,139.13 : 70,652.25 = 70,652.25 : x
  2. Step 2: Convert to fraction form
    33,139.13/70,652.25 = 70,652.25/x
  3. Step 3: Cross multiply
    33,139.13x = 70,652.25 × 70,652.25
  4. Step 4: Simplify right side
    33,139.13x = 4,991,740,430.06
  5. Step 5: Solve for x
    x = 4,991,740,430.06/33,139.13
  6. Step 6: Final answer
    x = 150,629.82

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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.