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Finding the Third Proportional to 40,950 and 61,713

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Solution

The third proportional to 40,950 and 61,713 is: 93,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,950 : 61,713 = 61,713 : x
  2. Step 2: Convert to fraction form
    40,950/61,713 = 61,713/x
  3. Step 3: Cross multiply
    40,950x = 61,713 × 61,713
  4. Step 4: Simplify right side
    40,950x = 3,808,494,369
  5. Step 5: Solve for x
    x = 3,808,494,369/40,950
  6. Step 6: Final answer
    x = 93,003.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.