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Finding the Third Proportional to 29,398 and 41,910

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Solution

The third proportional to 29,398 and 41,910 is: 59,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,398 : 41,910 = 41,910 : x
  2. Step 2: Convert to fraction form
    29,398/41,910 = 41,910/x
  3. Step 3: Cross multiply
    29,398x = 41,910 × 41,910
  4. Step 4: Simplify right side
    29,398x = 1,756,448,100
  5. Step 5: Solve for x
    x = 1,756,448,100/29,398
  6. Step 6: Final answer
    x = 59,747.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.