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Finding the Third Proportional to 11,913.38 and 17,523.38

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Solution

The third proportional to 11,913.38 and 17,523.38 is: 25,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.38 : 17,523.38 = 17,523.38 : x
  2. Step 2: Convert to fraction form
    11,913.38/17,523.38 = 17,523.38/x
  3. Step 3: Cross multiply
    11,913.38x = 17,523.38 × 17,523.38
  4. Step 4: Simplify right side
    11,913.38x = 307,068,671.39
  5. Step 5: Solve for x
    x = 307,068,671.39/11,913.38
  6. Step 6: Final answer
    x = 25,775.12

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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.