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Finding the Third Proportional to 31,396.50 and 43,916.06

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Solution

The third proportional to 31,396.50 and 43,916.06 is: 61,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396.50 : 43,916.06 = 43,916.06 : x
  2. Step 2: Convert to fraction form
    31,396.50/43,916.06 = 43,916.06/x
  3. Step 3: Cross multiply
    31,396.50x = 43,916.06 × 43,916.06
  4. Step 4: Simplify right side
    31,396.50x = 1,928,620,545.50
  5. Step 5: Solve for x
    x = 1,928,620,545.50/31,396.50
  6. Step 6: Final answer
    x = 61,427.88

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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.