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Finding the Third Proportional to 10,906 and 23,539

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Solution

The third proportional to 10,906 and 23,539 is: 50,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906 : 23,539 = 23,539 : x
  2. Step 2: Convert to fraction form
    10,906/23,539 = 23,539/x
  3. Step 3: Cross multiply
    10,906x = 23,539 × 23,539
  4. Step 4: Simplify right side
    10,906x = 554,084,521
  5. Step 5: Solve for x
    x = 554,084,521/10,906
  6. Step 6: Final answer
    x = 50,805.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.