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Finding the Third Proportional to 17,844.75 and 36,769.50

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Solution

The third proportional to 17,844.75 and 36,769.50 is: 75,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,844.75 : 36,769.50 = 36,769.50 : x
  2. Step 2: Convert to fraction form
    17,844.75/36,769.50 = 36,769.50/x
  3. Step 3: Cross multiply
    17,844.75x = 36,769.50 × 36,769.50
  4. Step 4: Simplify right side
    17,844.75x = 1,351,996,130.25
  5. Step 5: Solve for x
    x = 1,351,996,130.25/17,844.75
  6. Step 6: Final answer
    x = 75,764.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.