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Finding the Third Proportional to 7,077.75 and 14,930.25

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Solution

The third proportional to 7,077.75 and 14,930.25 is: 31,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.75 : 14,930.25 = 14,930.25 : x
  2. Step 2: Convert to fraction form
    7,077.75/14,930.25 = 14,930.25/x
  3. Step 3: Cross multiply
    7,077.75x = 14,930.25 × 14,930.25
  4. Step 4: Simplify right side
    7,077.75x = 222,912,365.06
  5. Step 5: Solve for x
    x = 222,912,365.06/7,077.75
  6. Step 6: Final answer
    x = 31,494.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.