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Finding the Third Proportional to 19,998.75 and 42,457.03

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Solution

The third proportional to 19,998.75 and 42,457.03 is: 90,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,998.75 : 42,457.03 = 42,457.03 : x
  2. Step 2: Convert to fraction form
    19,998.75/42,457.03 = 42,457.03/x
  3. Step 3: Cross multiply
    19,998.75x = 42,457.03 × 42,457.03
  4. Step 4: Simplify right side
    19,998.75x = 1,802,599,502.56
  5. Step 5: Solve for x
    x = 1,802,599,502.56/19,998.75
  6. Step 6: Final answer
    x = 90,135.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.