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Finding the Third Proportional to 10,641.38 and 23,398.88

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Solution

The third proportional to 10,641.38 and 23,398.88 is: 51,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.38 : 23,398.88 = 23,398.88 : x
  2. Step 2: Convert to fraction form
    10,641.38/23,398.88 = 23,398.88/x
  3. Step 3: Cross multiply
    10,641.38x = 23,398.88 × 23,398.88
  4. Step 4: Simplify right side
    10,641.38x = 547,507,351.27
  5. Step 5: Solve for x
    x = 547,507,351.27/10,641.38
  6. Step 6: Final answer
    x = 51,450.81

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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.