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Finding the Third Proportional to 41,103 and 61,655

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Solution

The third proportional to 41,103 and 61,655 is: 92,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,103 : 61,655 = 61,655 : x
  2. Step 2: Convert to fraction form
    41,103/61,655 = 61,655/x
  3. Step 3: Cross multiply
    41,103x = 61,655 × 61,655
  4. Step 4: Simplify right side
    41,103x = 3,801,339,025
  5. Step 5: Solve for x
    x = 3,801,339,025/41,103
  6. Step 6: Final answer
    x = 92,483.25

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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.