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Finding the Third Proportional to 19,734.89 and 42,628.78

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Solution

The third proportional to 19,734.89 and 42,628.78 is: 92,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734.89 : 42,628.78 = 42,628.78 : x
  2. Step 2: Convert to fraction form
    19,734.89/42,628.78 = 42,628.78/x
  3. Step 3: Cross multiply
    19,734.89x = 42,628.78 × 42,628.78
  4. Step 4: Simplify right side
    19,734.89x = 1,817,212,990.86
  5. Step 5: Solve for x
    x = 1,817,212,990.86/19,734.89
  6. Step 6: Final answer
    x = 92,081.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.