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Finding the Third Proportional to 41,681 and 54,745

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Solution

The third proportional to 41,681 and 54,745 is: 71,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,681 : 54,745 = 54,745 : x
  2. Step 2: Convert to fraction form
    41,681/54,745 = 54,745/x
  3. Step 3: Cross multiply
    41,681x = 54,745 × 54,745
  4. Step 4: Simplify right side
    41,681x = 2,997,015,025
  5. Step 5: Solve for x
    x = 2,997,015,025/41,681
  6. Step 6: Final answer
    x = 71,903.63

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.