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Finding the Third Proportional to 7,350.38 and 17,348.63

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Solution

The third proportional to 7,350.38 and 17,348.63 is: 40,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.38 : 17,348.63 = 17,348.63 : x
  2. Step 2: Convert to fraction form
    7,350.38/17,348.63 = 17,348.63/x
  3. Step 3: Cross multiply
    7,350.38x = 17,348.63 × 17,348.63
  4. Step 4: Simplify right side
    7,350.38x = 300,974,789.39
  5. Step 5: Solve for x
    x = 300,974,789.39/7,350.38
  6. Step 6: Final answer
    x = 40,946.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.