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Finding the Third Proportional to 17,110 and 25,710

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Solution

The third proportional to 17,110 and 25,710 is: 38,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,110 : 25,710 = 25,710 : x
  2. Step 2: Convert to fraction form
    17,110/25,710 = 25,710/x
  3. Step 3: Cross multiply
    17,110x = 25,710 × 25,710
  4. Step 4: Simplify right side
    17,110x = 661,004,100
  5. Step 5: Solve for x
    x = 661,004,100/17,110
  6. Step 6: Final answer
    x = 38,632.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.