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Finding the Third Proportional to 41,837 and 58,518

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Solution

The third proportional to 41,837 and 58,518 is: 81,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,837 : 58,518 = 58,518 : x
  2. Step 2: Convert to fraction form
    41,837/58,518 = 58,518/x
  3. Step 3: Cross multiply
    41,837x = 58,518 × 58,518
  4. Step 4: Simplify right side
    41,837x = 3,424,356,324
  5. Step 5: Solve for x
    x = 3,424,356,324/41,837
  6. Step 6: Final answer
    x = 81,849.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.