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Finding the Third Proportional to 11,705 and 25,283

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Solution

The third proportional to 11,705 and 25,283 is: 54,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705 : 25,283 = 25,283 : x
  2. Step 2: Convert to fraction form
    11,705/25,283 = 25,283/x
  3. Step 3: Cross multiply
    11,705x = 25,283 × 25,283
  4. Step 4: Simplify right side
    11,705x = 639,230,089
  5. Step 5: Solve for x
    x = 639,230,089/11,705
  6. Step 6: Final answer
    x = 54,611.71

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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.