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Finding the Third Proportional to 12,902 and 19,961

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Solution

The third proportional to 12,902 and 19,961 is: 30,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902 : 19,961 = 19,961 : x
  2. Step 2: Convert to fraction form
    12,902/19,961 = 19,961/x
  3. Step 3: Cross multiply
    12,902x = 19,961 × 19,961
  4. Step 4: Simplify right side
    12,902x = 398,441,521
  5. Step 5: Solve for x
    x = 398,441,521/12,902
  6. Step 6: Final answer
    x = 30,882.15

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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.