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Finding the Third Proportional to 41,827 and 56,745

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Solution

The third proportional to 41,827 and 56,745 is: 76,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,827 : 56,745 = 56,745 : x
  2. Step 2: Convert to fraction form
    41,827/56,745 = 56,745/x
  3. Step 3: Cross multiply
    41,827x = 56,745 × 56,745
  4. Step 4: Simplify right side
    41,827x = 3,219,995,025
  5. Step 5: Solve for x
    x = 3,219,995,025/41,827
  6. Step 6: Final answer
    x = 76,983.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.