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Finding the Third Proportional to 41,052 and 65,472

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Solution

The third proportional to 41,052 and 65,472 is: 104,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,052 : 65,472 = 65,472 : x
  2. Step 2: Convert to fraction form
    41,052/65,472 = 65,472/x
  3. Step 3: Cross multiply
    41,052x = 65,472 × 65,472
  4. Step 4: Simplify right side
    41,052x = 4,286,582,784
  5. Step 5: Solve for x
    x = 4,286,582,784/41,052
  6. Step 6: Final answer
    x = 104,418.37

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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.