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Finding the Third Proportional to 20,946.38 and 32,581.13

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Solution

The third proportional to 20,946.38 and 32,581.13 is: 50,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,946.38 : 32,581.13 = 32,581.13 : x
  2. Step 2: Convert to fraction form
    20,946.38/32,581.13 = 32,581.13/x
  3. Step 3: Cross multiply
    20,946.38x = 32,581.13 × 32,581.13
  4. Step 4: Simplify right side
    20,946.38x = 1,061,529,706.27
  5. Step 5: Solve for x
    x = 1,061,529,706.27/20,946.38
  6. Step 6: Final answer
    x = 50,678.44

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.