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Finding the Third Proportional to 41,102.44 and 61,659.35

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Solution

The third proportional to 41,102.44 and 61,659.35 is: 92,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102.44 : 61,659.35 = 61,659.35 : x
  2. Step 2: Convert to fraction form
    41,102.44/61,659.35 = 61,659.35/x
  3. Step 3: Cross multiply
    41,102.44x = 61,659.35 × 61,659.35
  4. Step 4: Simplify right side
    41,102.44x = 3,801,875,635.11
  5. Step 5: Solve for x
    x = 3,801,875,635.11/41,102.44
  6. Step 6: Final answer
    x = 92,497.57

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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.