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Finding the Third Proportional to 12,818 and 19,892

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Solution

The third proportional to 12,818 and 19,892 is: 30,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818 : 19,892 = 19,892 : x
  2. Step 2: Convert to fraction form
    12,818/19,892 = 19,892/x
  3. Step 3: Cross multiply
    12,818x = 19,892 × 19,892
  4. Step 4: Simplify right side
    12,818x = 395,691,664
  5. Step 5: Solve for x
    x = 395,691,664/12,818
  6. Step 6: Final answer
    x = 30,870.00

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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.