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Finding the Third Proportional to 41,010 and 52,404

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Solution

The third proportional to 41,010 and 52,404 is: 66,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,010 : 52,404 = 52,404 : x
  2. Step 2: Convert to fraction form
    41,010/52,404 = 52,404/x
  3. Step 3: Cross multiply
    41,010x = 52,404 × 52,404
  4. Step 4: Simplify right side
    41,010x = 2,746,179,216
  5. Step 5: Solve for x
    x = 2,746,179,216/41,010
  6. Step 6: Final answer
    x = 66,963.65

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.