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Finding the Third Proportional to 36,241.50 and 73,501.75

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Solution

The third proportional to 36,241.50 and 73,501.75 is: 149,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,241.50 : 73,501.75 = 73,501.75 : x
  2. Step 2: Convert to fraction form
    36,241.50/73,501.75 = 73,501.75/x
  3. Step 3: Cross multiply
    36,241.50x = 73,501.75 × 73,501.75
  4. Step 4: Simplify right side
    36,241.50x = 5,402,507,253.06
  5. Step 5: Solve for x
    x = 5,402,507,253.06/36,241.50
  6. Step 6: Final answer
    x = 149,069.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.