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Finding the Third Proportional to 35,074.50 and 50,769

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Solution

The third proportional to 35,074.50 and 50,769 is: 73,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,074.50 : 50,769 = 50,769 : x
  2. Step 2: Convert to fraction form
    35,074.50/50,769 = 50,769/x
  3. Step 3: Cross multiply
    35,074.50x = 50,769 × 50,769
  4. Step 4: Simplify right side
    35,074.50x = 2,577,491,361
  5. Step 5: Solve for x
    x = 2,577,491,361/35,074.50
  6. Step 6: Final answer
    x = 73,486.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.