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Finding the Third Proportional to 43,606 and 65,750.75

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Solution

The third proportional to 43,606 and 65,750.75 is: 99,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,606 : 65,750.75 = 65,750.75 : x
  2. Step 2: Convert to fraction form
    43,606/65,750.75 = 65,750.75/x
  3. Step 3: Cross multiply
    43,606x = 65,750.75 × 65,750.75
  4. Step 4: Simplify right side
    43,606x = 4,323,161,125.56
  5. Step 5: Solve for x
    x = 4,323,161,125.56/43,606
  6. Step 6: Final answer
    x = 99,141.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.