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Finding the Third Proportional to 10,546 and 23,425

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Solution

The third proportional to 10,546 and 23,425 is: 52,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546 : 23,425 = 23,425 : x
  2. Step 2: Convert to fraction form
    10,546/23,425 = 23,425/x
  3. Step 3: Cross multiply
    10,546x = 23,425 × 23,425
  4. Step 4: Simplify right side
    10,546x = 548,730,625
  5. Step 5: Solve for x
    x = 548,730,625/10,546
  6. Step 6: Final answer
    x = 52,032.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.