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Finding the Third Proportional to 11,824.31 and 17,823.38

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Solution

The third proportional to 11,824.31 and 17,823.38 is: 26,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.31 : 17,823.38 = 17,823.38 : x
  2. Step 2: Convert to fraction form
    11,824.31/17,823.38 = 17,823.38/x
  3. Step 3: Cross multiply
    11,824.31x = 17,823.38 × 17,823.38
  4. Step 4: Simplify right side
    11,824.31x = 317,672,696.39
  5. Step 5: Solve for x
    x = 317,672,696.39/11,824.31
  6. Step 6: Final answer
    x = 26,866.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.