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Finding the Third Proportional to 19,214.92 and 42,212.94

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Solution

The third proportional to 19,214.92 and 42,212.94 is: 92,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214.92 : 42,212.94 = 42,212.94 : x
  2. Step 2: Convert to fraction form
    19,214.92/42,212.94 = 42,212.94/x
  3. Step 3: Cross multiply
    19,214.92x = 42,212.94 × 42,212.94
  4. Step 4: Simplify right side
    19,214.92x = 1,781,932,669.51
  5. Step 5: Solve for x
    x = 1,781,932,669.51/19,214.92
  6. Step 6: Final answer
    x = 92,736.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.