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Finding the Third Proportional to 35,245.75 and 53,984.75

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Solution

The third proportional to 35,245.75 and 53,984.75 is: 82,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,245.75 : 53,984.75 = 53,984.75 : x
  2. Step 2: Convert to fraction form
    35,245.75/53,984.75 = 53,984.75/x
  3. Step 3: Cross multiply
    35,245.75x = 53,984.75 × 53,984.75
  4. Step 4: Simplify right side
    35,245.75x = 2,914,353,232.56
  5. Step 5: Solve for x
    x = 2,914,353,232.56/35,245.75
  6. Step 6: Final answer
    x = 82,686.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.