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Finding the Third Proportional to 17,215 and 25,502

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Solution

The third proportional to 17,215 and 25,502 is: 37,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,215 : 25,502 = 25,502 : x
  2. Step 2: Convert to fraction form
    17,215/25,502 = 25,502/x
  3. Step 3: Cross multiply
    17,215x = 25,502 × 25,502
  4. Step 4: Simplify right side
    17,215x = 650,352,004
  5. Step 5: Solve for x
    x = 650,352,004/17,215
  6. Step 6: Final answer
    x = 37,778.22

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