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Finding the Third Proportional to 24,380 and 35,638

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Solution

The third proportional to 24,380 and 35,638 is: 52,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380 : 35,638 = 35,638 : x
  2. Step 2: Convert to fraction form
    24,380/35,638 = 35,638/x
  3. Step 3: Cross multiply
    24,380x = 35,638 × 35,638
  4. Step 4: Simplify right side
    24,380x = 1,270,067,044
  5. Step 5: Solve for x
    x = 1,270,067,044/24,380
  6. Step 6: Final answer
    x = 52,094.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.