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Finding the Third Proportional to 12,592 and 25,520

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Solution

The third proportional to 12,592 and 25,520 is: 51,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592 : 25,520 = 25,520 : x
  2. Step 2: Convert to fraction form
    12,592/25,520 = 25,520/x
  3. Step 3: Cross multiply
    12,592x = 25,520 × 25,520
  4. Step 4: Simplify right side
    12,592x = 651,270,400
  5. Step 5: Solve for x
    x = 651,270,400/12,592
  6. Step 6: Final answer
    x = 51,720.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.