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Finding the Third Proportional to 19,035.50 and 40,906

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Solution

The third proportional to 19,035.50 and 40,906 is: 87,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,035.50 : 40,906 = 40,906 : x
  2. Step 2: Convert to fraction form
    19,035.50/40,906 = 40,906/x
  3. Step 3: Cross multiply
    19,035.50x = 40,906 × 40,906
  4. Step 4: Simplify right side
    19,035.50x = 1,673,300,836
  5. Step 5: Solve for x
    x = 1,673,300,836/19,035.50
  6. Step 6: Final answer
    x = 87,904.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.