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Finding the Third Proportional to 10,190.81 and 22,386.38

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Solution

The third proportional to 10,190.81 and 22,386.38 is: 49,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.81 : 22,386.38 = 22,386.38 : x
  2. Step 2: Convert to fraction form
    10,190.81/22,386.38 = 22,386.38/x
  3. Step 3: Cross multiply
    10,190.81x = 22,386.38 × 22,386.38
  4. Step 4: Simplify right side
    10,190.81x = 501,149,785.64
  5. Step 5: Solve for x
    x = 501,149,785.64/10,190.81
  6. Step 6: Final answer
    x = 49,176.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.