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Finding the Third Proportional to 14,791 and 31,945

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Solution

The third proportional to 14,791 and 31,945 is: 68,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791 : 31,945 = 31,945 : x
  2. Step 2: Convert to fraction form
    14,791/31,945 = 31,945/x
  3. Step 3: Cross multiply
    14,791x = 31,945 × 31,945
  4. Step 4: Simplify right side
    14,791x = 1,020,483,025
  5. Step 5: Solve for x
    x = 1,020,483,025/14,791
  6. Step 6: Final answer
    x = 68,993.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.