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Finding the Third Proportional to 7,302.38 and 11,865.38

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Solution

The third proportional to 7,302.38 and 11,865.38 is: 19,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.38 : 11,865.38 = 11,865.38 : x
  2. Step 2: Convert to fraction form
    7,302.38/11,865.38 = 11,865.38/x
  3. Step 3: Cross multiply
    7,302.38x = 11,865.38 × 11,865.38
  4. Step 4: Simplify right side
    7,302.38x = 140,787,123.89
  5. Step 5: Solve for x
    x = 140,787,123.89/7,302.38
  6. Step 6: Final answer
    x = 19,279.63

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.