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Finding the Third Proportional to 19,703.25 and 43,238.81

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Solution

The third proportional to 19,703.25 and 43,238.81 is: 94,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.25 : 43,238.81 = 43,238.81 : x
  2. Step 2: Convert to fraction form
    19,703.25/43,238.81 = 43,238.81/x
  3. Step 3: Cross multiply
    19,703.25x = 43,238.81 × 43,238.81
  4. Step 4: Simplify right side
    19,703.25x = 1,869,594,906.41
  5. Step 5: Solve for x
    x = 1,869,594,906.41/19,703.25
  6. Step 6: Final answer
    x = 94,887.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.