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Finding the Third Proportional to 19,768.50 and 43,688.25

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Solution

The third proportional to 19,768.50 and 43,688.25 is: 96,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.50 : 43,688.25 = 43,688.25 : x
  2. Step 2: Convert to fraction form
    19,768.50/43,688.25 = 43,688.25/x
  3. Step 3: Cross multiply
    19,768.50x = 43,688.25 × 43,688.25
  4. Step 4: Simplify right side
    19,768.50x = 1,908,663,188.06
  5. Step 5: Solve for x
    x = 1,908,663,188.06/19,768.50
  6. Step 6: Final answer
    x = 96,550.73

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.