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Finding the Third Proportional to 17,654 and 26,445

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Solution

The third proportional to 17,654 and 26,445 is: 39,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654 : 26,445 = 26,445 : x
  2. Step 2: Convert to fraction form
    17,654/26,445 = 26,445/x
  3. Step 3: Cross multiply
    17,654x = 26,445 × 26,445
  4. Step 4: Simplify right side
    17,654x = 699,338,025
  5. Step 5: Solve for x
    x = 699,338,025/17,654
  6. Step 6: Final answer
    x = 39,613.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.