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Finding the Third Proportional to 11,960 and 25,498

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Solution

The third proportional to 11,960 and 25,498 is: 54,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960 : 25,498 = 25,498 : x
  2. Step 2: Convert to fraction form
    11,960/25,498 = 25,498/x
  3. Step 3: Cross multiply
    11,960x = 25,498 × 25,498
  4. Step 4: Simplify right side
    11,960x = 650,148,004
  5. Step 5: Solve for x
    x = 650,148,004/11,960
  6. Step 6: Final answer
    x = 54,360.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.