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Finding the Third Proportional to 17,648 and 26,120

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Solution

The third proportional to 17,648 and 26,120 is: 38,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648 : 26,120 = 26,120 : x
  2. Step 2: Convert to fraction form
    17,648/26,120 = 26,120/x
  3. Step 3: Cross multiply
    17,648x = 26,120 × 26,120
  4. Step 4: Simplify right side
    17,648x = 682,254,400
  5. Step 5: Solve for x
    x = 682,254,400/17,648
  6. Step 6: Final answer
    x = 38,659.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.