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Finding the Third Proportional to 11,531 and 23,539

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Solution

The third proportional to 11,531 and 23,539 is: 48,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531 : 23,539 = 23,539 : x
  2. Step 2: Convert to fraction form
    11,531/23,539 = 23,539/x
  3. Step 3: Cross multiply
    11,531x = 23,539 × 23,539
  4. Step 4: Simplify right side
    11,531x = 554,084,521
  5. Step 5: Solve for x
    x = 554,084,521/11,531
  6. Step 6: Final answer
    x = 48,051.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.