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Finding the Third Proportional to 25,319 and 27,425

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Solution

The third proportional to 25,319 and 27,425 is: 29,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,319 : 27,425 = 27,425 : x
  2. Step 2: Convert to fraction form
    25,319/27,425 = 27,425/x
  3. Step 3: Cross multiply
    25,319x = 27,425 × 27,425
  4. Step 4: Simplify right side
    25,319x = 752,130,625
  5. Step 5: Solve for x
    x = 752,130,625/25,319
  6. Step 6: Final answer
    x = 29,706.17

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.