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Finding the Third Proportional to 11,920.41 and 17,515.69

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Solution

The third proportional to 11,920.41 and 17,515.69 is: 25,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.41 : 17,515.69 = 17,515.69 : x
  2. Step 2: Convert to fraction form
    11,920.41/17,515.69 = 17,515.69/x
  3. Step 3: Cross multiply
    11,920.41x = 17,515.69 × 17,515.69
  4. Step 4: Simplify right side
    11,920.41x = 306,799,308.60
  5. Step 5: Solve for x
    x = 306,799,308.60/11,920.41
  6. Step 6: Final answer
    x = 25,737.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.