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Finding the Third Proportional to 23,025.50 and 34,988.75

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Solution

The third proportional to 23,025.50 and 34,988.75 is: 53,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,025.50 : 34,988.75 = 34,988.75 : x
  2. Step 2: Convert to fraction form
    23,025.50/34,988.75 = 34,988.75/x
  3. Step 3: Cross multiply
    23,025.50x = 34,988.75 × 34,988.75
  4. Step 4: Simplify right side
    23,025.50x = 1,224,212,626.56
  5. Step 5: Solve for x
    x = 1,224,212,626.56/23,025.50
  6. Step 6: Final answer
    x = 53,167.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.