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Finding the Third Proportional to 23,098.50 and 35,835.75

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Solution

The third proportional to 23,098.50 and 35,835.75 is: 55,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.50 : 35,835.75 = 35,835.75 : x
  2. Step 2: Convert to fraction form
    23,098.50/35,835.75 = 35,835.75/x
  3. Step 3: Cross multiply
    23,098.50x = 35,835.75 × 35,835.75
  4. Step 4: Simplify right side
    23,098.50x = 1,284,200,978.06
  5. Step 5: Solve for x
    x = 1,284,200,978.06/23,098.50
  6. Step 6: Final answer
    x = 55,596.73

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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.