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Finding the Third Proportional to 23,464 and 35,398

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Solution

The third proportional to 23,464 and 35,398 is: 53,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464 : 35,398 = 35,398 : x
  2. Step 2: Convert to fraction form
    23,464/35,398 = 35,398/x
  3. Step 3: Cross multiply
    23,464x = 35,398 × 35,398
  4. Step 4: Simplify right side
    23,464x = 1,253,018,404
  5. Step 5: Solve for x
    x = 1,253,018,404/23,464
  6. Step 6: Final answer
    x = 53,401.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.