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Finding the Third Proportional to 17,007 and 26,424

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Solution

The third proportional to 17,007 and 26,424 is: 41,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007 : 26,424 = 26,424 : x
  2. Step 2: Convert to fraction form
    17,007/26,424 = 26,424/x
  3. Step 3: Cross multiply
    17,007x = 26,424 × 26,424
  4. Step 4: Simplify right side
    17,007x = 698,227,776
  5. Step 5: Solve for x
    x = 698,227,776/17,007
  6. Step 6: Final answer
    x = 41,055.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.