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Finding the Third Proportional to 7,938.38 and 11,670

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Solution

The third proportional to 7,938.38 and 11,670 is: 17,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.38 : 11,670 = 11,670 : x
  2. Step 2: Convert to fraction form
    7,938.38/11,670 = 11,670/x
  3. Step 3: Cross multiply
    7,938.38x = 11,670 × 11,670
  4. Step 4: Simplify right side
    7,938.38x = 136,188,900
  5. Step 5: Solve for x
    x = 136,188,900/7,938.38
  6. Step 6: Final answer
    x = 17,155.77

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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.