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Finding the Third Proportional to 7,700.25 and 11,946.75

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Solution

The third proportional to 7,700.25 and 11,946.75 is: 18,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.25 : 11,946.75 = 11,946.75 : x
  2. Step 2: Convert to fraction form
    7,700.25/11,946.75 = 11,946.75/x
  3. Step 3: Cross multiply
    7,700.25x = 11,946.75 × 11,946.75
  4. Step 4: Simplify right side
    7,700.25x = 142,724,835.56
  5. Step 5: Solve for x
    x = 142,724,835.56/7,700.25
  6. Step 6: Final answer
    x = 18,535.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.