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Finding the Third Proportional to 41,135 and 61,594

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Solution

The third proportional to 41,135 and 61,594 is: 92,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,135 : 61,594 = 61,594 : x
  2. Step 2: Convert to fraction form
    41,135/61,594 = 61,594/x
  3. Step 3: Cross multiply
    41,135x = 61,594 × 61,594
  4. Step 4: Simplify right side
    41,135x = 3,793,820,836
  5. Step 5: Solve for x
    x = 3,793,820,836/41,135
  6. Step 6: Final answer
    x = 92,228.54

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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.