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Finding the Third Proportional to 47,316 and 65,790

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Solution

The third proportional to 47,316 and 65,790 is: 91,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,316 : 65,790 = 65,790 : x
  2. Step 2: Convert to fraction form
    47,316/65,790 = 65,790/x
  3. Step 3: Cross multiply
    47,316x = 65,790 × 65,790
  4. Step 4: Simplify right side
    47,316x = 4,328,324,100
  5. Step 5: Solve for x
    x = 4,328,324,100/47,316
  6. Step 6: Final answer
    x = 91,476.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.