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Finding the Third Proportional to 12,902 and 19,960

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Solution

The third proportional to 12,902 and 19,960 is: 30,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902 : 19,960 = 19,960 : x
  2. Step 2: Convert to fraction form
    12,902/19,960 = 19,960/x
  3. Step 3: Cross multiply
    12,902x = 19,960 × 19,960
  4. Step 4: Simplify right side
    12,902x = 398,401,600
  5. Step 5: Solve for x
    x = 398,401,600/12,902
  6. Step 6: Final answer
    x = 30,879.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.