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Finding the Third Proportional to 21,936.94 and 32,082.69

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Solution

The third proportional to 21,936.94 and 32,082.69 is: 46,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,936.94 : 32,082.69 = 32,082.69 : x
  2. Step 2: Convert to fraction form
    21,936.94/32,082.69 = 32,082.69/x
  3. Step 3: Cross multiply
    21,936.94x = 32,082.69 × 32,082.69
  4. Step 4: Simplify right side
    21,936.94x = 1,029,298,837.22
  5. Step 5: Solve for x
    x = 1,029,298,837.22/21,936.94
  6. Step 6: Final answer
    x = 46,920.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.