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Finding the Third Proportional to 17,438 and 26,674

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Solution

The third proportional to 17,438 and 26,674 is: 40,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438 : 26,674 = 26,674 : x
  2. Step 2: Convert to fraction form
    17,438/26,674 = 26,674/x
  3. Step 3: Cross multiply
    17,438x = 26,674 × 26,674
  4. Step 4: Simplify right side
    17,438x = 711,502,276
  5. Step 5: Solve for x
    x = 711,502,276/17,438
  6. Step 6: Final answer
    x = 40,801.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.