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Finding the Third Proportional to 17,009 and 25,531

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Solution

The third proportional to 17,009 and 25,531 is: 38,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009 : 25,531 = 25,531 : x
  2. Step 2: Convert to fraction form
    17,009/25,531 = 25,531/x
  3. Step 3: Cross multiply
    17,009x = 25,531 × 25,531
  4. Step 4: Simplify right side
    17,009x = 651,831,961
  5. Step 5: Solve for x
    x = 651,831,961/17,009
  6. Step 6: Final answer
    x = 38,322.77

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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.