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Finding the Third Proportional to 41,306 and 65,651

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Solution

The third proportional to 41,306 and 65,651 is: 104,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,306 : 65,651 = 65,651 : x
  2. Step 2: Convert to fraction form
    41,306/65,651 = 65,651/x
  3. Step 3: Cross multiply
    41,306x = 65,651 × 65,651
  4. Step 4: Simplify right side
    41,306x = 4,310,053,801
  5. Step 5: Solve for x
    x = 4,310,053,801/41,306
  6. Step 6: Final answer
    x = 104,344.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.