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Finding the Third Proportional to 23,067.75 and 30,289.50

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Solution

The third proportional to 23,067.75 and 30,289.50 is: 39,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,067.75 : 30,289.50 = 30,289.50 : x
  2. Step 2: Convert to fraction form
    23,067.75/30,289.50 = 30,289.50/x
  3. Step 3: Cross multiply
    23,067.75x = 30,289.50 × 30,289.50
  4. Step 4: Simplify right side
    23,067.75x = 917,453,810.25
  5. Step 5: Solve for x
    x = 917,453,810.25/23,067.75
  6. Step 6: Final answer
    x = 39,772.14

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.