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Finding the Third Proportional to 29,540 and 44,918

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Solution

The third proportional to 29,540 and 44,918 is: 68,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,540 : 44,918 = 44,918 : x
  2. Step 2: Convert to fraction form
    29,540/44,918 = 44,918/x
  3. Step 3: Cross multiply
    29,540x = 44,918 × 44,918
  4. Step 4: Simplify right side
    29,540x = 2,017,626,724
  5. Step 5: Solve for x
    x = 2,017,626,724/29,540
  6. Step 6: Final answer
    x = 68,301.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.