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Finding the Third Proportional to 12,920.63 and 19,942.88

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Solution

The third proportional to 12,920.63 and 19,942.88 is: 30,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.63 : 19,942.88 = 19,942.88 : x
  2. Step 2: Convert to fraction form
    12,920.63/19,942.88 = 19,942.88/x
  3. Step 3: Cross multiply
    12,920.63x = 19,942.88 × 19,942.88
  4. Step 4: Simplify right side
    12,920.63x = 397,718,263.27
  5. Step 5: Solve for x
    x = 397,718,263.27/12,920.63
  6. Step 6: Final answer
    x = 30,781.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.