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Finding the Third Proportional to 35,464.50 and 72,744.75

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Solution

The third proportional to 35,464.50 and 72,744.75 is: 149,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464.50 : 72,744.75 = 72,744.75 : x
  2. Step 2: Convert to fraction form
    35,464.50/72,744.75 = 72,744.75/x
  3. Step 3: Cross multiply
    35,464.50x = 72,744.75 × 72,744.75
  4. Step 4: Simplify right side
    35,464.50x = 5,291,798,652.56
  5. Step 5: Solve for x
    x = 5,291,798,652.56/35,464.50
  6. Step 6: Final answer
    x = 149,213.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.