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Finding the Third Proportional to 10,096.13 and 20,696.06

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Solution

The third proportional to 10,096.13 and 20,696.06 is: 42,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.13 : 20,696.06 = 20,696.06 : x
  2. Step 2: Convert to fraction form
    10,096.13/20,696.06 = 20,696.06/x
  3. Step 3: Cross multiply
    10,096.13x = 20,696.06 × 20,696.06
  4. Step 4: Simplify right side
    10,096.13x = 428,327,003.00
  5. Step 5: Solve for x
    x = 428,327,003.00/10,096.13
  6. Step 6: Final answer
    x = 42,424.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.