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Finding the Third Proportional to 32,936.63 and 73,241.72

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Solution

The third proportional to 32,936.63 and 73,241.72 is: 162,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,936.63 : 73,241.72 = 73,241.72 : x
  2. Step 2: Convert to fraction form
    32,936.63/73,241.72 = 73,241.72/x
  3. Step 3: Cross multiply
    32,936.63x = 73,241.72 × 73,241.72
  4. Step 4: Simplify right side
    32,936.63x = 5,364,349,365.45
  5. Step 5: Solve for x
    x = 5,364,349,365.45/32,936.63
  6. Step 6: Final answer
    x = 162,868.82

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.