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Finding the Third Proportional to 34,492 and 53,425

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Solution

The third proportional to 34,492 and 53,425 is: 82,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,492 : 53,425 = 53,425 : x
  2. Step 2: Convert to fraction form
    34,492/53,425 = 53,425/x
  3. Step 3: Cross multiply
    34,492x = 53,425 × 53,425
  4. Step 4: Simplify right side
    34,492x = 2,854,230,625
  5. Step 5: Solve for x
    x = 2,854,230,625/34,492
  6. Step 6: Final answer
    x = 82,750.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.