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Finding the Third Proportional to 41,077.13 and 66,133.69

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Solution

The third proportional to 41,077.13 and 66,133.69 is: 106,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,077.13 : 66,133.69 = 66,133.69 : x
  2. Step 2: Convert to fraction form
    41,077.13/66,133.69 = 66,133.69/x
  3. Step 3: Cross multiply
    41,077.13x = 66,133.69 × 66,133.69
  4. Step 4: Simplify right side
    41,077.13x = 4,373,664,622.35
  5. Step 5: Solve for x
    x = 4,373,664,622.35/41,077.13
  6. Step 6: Final answer
    x = 106,474.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.