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Finding the Third Proportional to 41,930 and 62,323

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Solution

The third proportional to 41,930 and 62,323 is: 92,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,930 : 62,323 = 62,323 : x
  2. Step 2: Convert to fraction form
    41,930/62,323 = 62,323/x
  3. Step 3: Cross multiply
    41,930x = 62,323 × 62,323
  4. Step 4: Simplify right side
    41,930x = 3,884,156,329
  5. Step 5: Solve for x
    x = 3,884,156,329/41,930
  6. Step 6: Final answer
    x = 92,634.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.