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Finding the Third Proportional to 11,654 and 25,036

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Solution

The third proportional to 11,654 and 25,036 is: 53,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654 : 25,036 = 25,036 : x
  2. Step 2: Convert to fraction form
    11,654/25,036 = 25,036/x
  3. Step 3: Cross multiply
    11,654x = 25,036 × 25,036
  4. Step 4: Simplify right side
    11,654x = 626,801,296
  5. Step 5: Solve for x
    x = 626,801,296/11,654
  6. Step 6: Final answer
    x = 53,784.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.