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Finding the Third Proportional to 17,404 and 38,360

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Solution

The third proportional to 17,404 and 38,360 is: 84,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404 : 38,360 = 38,360 : x
  2. Step 2: Convert to fraction form
    17,404/38,360 = 38,360/x
  3. Step 3: Cross multiply
    17,404x = 38,360 × 38,360
  4. Step 4: Simplify right side
    17,404x = 1,471,489,600
  5. Step 5: Solve for x
    x = 1,471,489,600/17,404
  6. Step 6: Final answer
    x = 84,548.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.