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Finding the Third Proportional to 29,668 and 41,478

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Solution

The third proportional to 29,668 and 41,478 is: 57,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668 : 41,478 = 41,478 : x
  2. Step 2: Convert to fraction form
    29,668/41,478 = 41,478/x
  3. Step 3: Cross multiply
    29,668x = 41,478 × 41,478
  4. Step 4: Simplify right side
    29,668x = 1,720,424,484
  5. Step 5: Solve for x
    x = 1,720,424,484/29,668
  6. Step 6: Final answer
    x = 57,989.23

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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.