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Finding the Third Proportional to 36,501.75 and 79,769.75

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Solution

The third proportional to 36,501.75 and 79,769.75 is: 174,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,501.75 : 79,769.75 = 79,769.75 : x
  2. Step 2: Convert to fraction form
    36,501.75/79,769.75 = 79,769.75/x
  3. Step 3: Cross multiply
    36,501.75x = 79,769.75 × 79,769.75
  4. Step 4: Simplify right side
    36,501.75x = 6,363,213,015.06
  5. Step 5: Solve for x
    x = 6,363,213,015.06/36,501.75
  6. Step 6: Final answer
    x = 174,326.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.