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Finding the Third Proportional to 9,696.38 and 20,939.63

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Solution

The third proportional to 9,696.38 and 20,939.63 is: 45,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.38 : 20,939.63 = 20,939.63 : x
  2. Step 2: Convert to fraction form
    9,696.38/20,939.63 = 20,939.63/x
  3. Step 3: Cross multiply
    9,696.38x = 20,939.63 × 20,939.63
  4. Step 4: Simplify right side
    9,696.38x = 438,467,895.14
  5. Step 5: Solve for x
    x = 438,467,895.14/9,696.38
  6. Step 6: Final answer
    x = 45,219.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.