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Finding the Third Proportional to 23,078.25 and 34,610.63

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Solution

The third proportional to 23,078.25 and 34,610.63 is: 51,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078.25 : 34,610.63 = 34,610.63 : x
  2. Step 2: Convert to fraction form
    23,078.25/34,610.63 = 34,610.63/x
  3. Step 3: Cross multiply
    23,078.25x = 34,610.63 × 34,610.63
  4. Step 4: Simplify right side
    23,078.25x = 1,197,895,362.89
  5. Step 5: Solve for x
    x = 1,197,895,362.89/23,078.25
  6. Step 6: Final answer
    x = 51,905.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.