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Finding the Third Proportional to 41,964 and 85,866.75

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Solution

The third proportional to 41,964 and 85,866.75 is: 175,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,964 : 85,866.75 = 85,866.75 : x
  2. Step 2: Convert to fraction form
    41,964/85,866.75 = 85,866.75/x
  3. Step 3: Cross multiply
    41,964x = 85,866.75 × 85,866.75
  4. Step 4: Simplify right side
    41,964x = 7,373,098,755.56
  5. Step 5: Solve for x
    x = 7,373,098,755.56/41,964
  6. Step 6: Final answer
    x = 175,700.57

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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.