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Finding the Third Proportional to 29,823 and 41,797

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Solution

The third proportional to 29,823 and 41,797 is: 58,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823 : 41,797 = 41,797 : x
  2. Step 2: Convert to fraction form
    29,823/41,797 = 41,797/x
  3. Step 3: Cross multiply
    29,823x = 41,797 × 41,797
  4. Step 4: Simplify right side
    29,823x = 1,746,989,209
  5. Step 5: Solve for x
    x = 1,746,989,209/29,823
  6. Step 6: Final answer
    x = 58,578.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.