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Finding the Third Proportional to 17,625 and 25,465

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Solution

The third proportional to 17,625 and 25,465 is: 36,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625 : 25,465 = 25,465 : x
  2. Step 2: Convert to fraction form
    17,625/25,465 = 25,465/x
  3. Step 3: Cross multiply
    17,625x = 25,465 × 25,465
  4. Step 4: Simplify right side
    17,625x = 648,466,225
  5. Step 5: Solve for x
    x = 648,466,225/17,625
  6. Step 6: Final answer
    x = 36,792.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.