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Finding the Third Proportional to 35,832 and 53,716.50

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Solution

The third proportional to 35,832 and 53,716.50 is: 80,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832 : 53,716.50 = 53,716.50 : x
  2. Step 2: Convert to fraction form
    35,832/53,716.50 = 53,716.50/x
  3. Step 3: Cross multiply
    35,832x = 53,716.50 × 53,716.50
  4. Step 4: Simplify right side
    35,832x = 2,885,462,372.25
  5. Step 5: Solve for x
    x = 2,885,462,372.25/35,832
  6. Step 6: Final answer
    x = 80,527.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.