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Finding the Third Proportional to 31,349 and 43,945

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Solution

The third proportional to 31,349 and 43,945 is: 61,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349 : 43,945 = 43,945 : x
  2. Step 2: Convert to fraction form
    31,349/43,945 = 43,945/x
  3. Step 3: Cross multiply
    31,349x = 43,945 × 43,945
  4. Step 4: Simplify right side
    31,349x = 1,931,163,025
  5. Step 5: Solve for x
    x = 1,931,163,025/31,349
  6. Step 6: Final answer
    x = 61,602.06

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.