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Finding the Third Proportional to 41,646 and 54,045

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Solution

The third proportional to 41,646 and 54,045 is: 70,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646 : 54,045 = 54,045 : x
  2. Step 2: Convert to fraction form
    41,646/54,045 = 54,045/x
  3. Step 3: Cross multiply
    41,646x = 54,045 × 54,045
  4. Step 4: Simplify right side
    41,646x = 2,920,862,025
  5. Step 5: Solve for x
    x = 2,920,862,025/41,646
  6. Step 6: Final answer
    x = 70,135.48

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.