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Finding the Third Proportional to 11,704 and 25,348

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Solution

The third proportional to 11,704 and 25,348 is: 54,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704 : 25,348 = 25,348 : x
  2. Step 2: Convert to fraction form
    11,704/25,348 = 25,348/x
  3. Step 3: Cross multiply
    11,704x = 25,348 × 25,348
  4. Step 4: Simplify right side
    11,704x = 642,521,104
  5. Step 5: Solve for x
    x = 642,521,104/11,704
  6. Step 6: Final answer
    x = 54,897.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.