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Finding the Third Proportional to 17,928 and 25,810

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Solution

The third proportional to 17,928 and 25,810 is: 37,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928 : 25,810 = 25,810 : x
  2. Step 2: Convert to fraction form
    17,928/25,810 = 25,810/x
  3. Step 3: Cross multiply
    17,928x = 25,810 × 25,810
  4. Step 4: Simplify right side
    17,928x = 666,156,100
  5. Step 5: Solve for x
    x = 666,156,100/17,928
  6. Step 6: Final answer
    x = 37,157.30

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.