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Finding the Third Proportional to 33,012.50 and 70,115.50

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Solution

The third proportional to 33,012.50 and 70,115.50 is: 148,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.50 : 70,115.50 = 70,115.50 : x
  2. Step 2: Convert to fraction form
    33,012.50/70,115.50 = 70,115.50/x
  3. Step 3: Cross multiply
    33,012.50x = 70,115.50 × 70,115.50
  4. Step 4: Simplify right side
    33,012.50x = 4,916,183,340.25
  5. Step 5: Solve for x
    x = 4,916,183,340.25/33,012.50
  6. Step 6: Final answer
    x = 148,918.84

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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.