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Finding the Third Proportional to 14,735.25 and 31,806.75

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Solution

The third proportional to 14,735.25 and 31,806.75 is: 68,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.25 : 31,806.75 = 31,806.75 : x
  2. Step 2: Convert to fraction form
    14,735.25/31,806.75 = 31,806.75/x
  3. Step 3: Cross multiply
    14,735.25x = 31,806.75 × 31,806.75
  4. Step 4: Simplify right side
    14,735.25x = 1,011,669,345.56
  5. Step 5: Solve for x
    x = 1,011,669,345.56/14,735.25
  6. Step 6: Final answer
    x = 68,656.41

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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.