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Finding the Third Proportional to 14,747.06 and 31,850.09

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Solution

The third proportional to 14,747.06 and 31,850.09 is: 68,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,747.06 : 31,850.09 = 31,850.09 : x
  2. Step 2: Convert to fraction form
    14,747.06/31,850.09 = 31,850.09/x
  3. Step 3: Cross multiply
    14,747.06x = 31,850.09 × 31,850.09
  4. Step 4: Simplify right side
    14,747.06x = 1,014,427,974.23
  5. Step 5: Solve for x
    x = 1,014,427,974.23/14,747.06
  6. Step 6: Final answer
    x = 68,788.48

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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.