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Finding the Third Proportional to 17,672 and 25,990

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Solution

The third proportional to 17,672 and 25,990 is: 38,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672 : 25,990 = 25,990 : x
  2. Step 2: Convert to fraction form
    17,672/25,990 = 25,990/x
  3. Step 3: Cross multiply
    17,672x = 25,990 × 25,990
  4. Step 4: Simplify right side
    17,672x = 675,480,100
  5. Step 5: Solve for x
    x = 675,480,100/17,672
  6. Step 6: Final answer
    x = 38,223.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.