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Finding the Third Proportional to 23,097.75 and 34,776.75

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Solution

The third proportional to 23,097.75 and 34,776.75 is: 52,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.75 : 34,776.75 = 34,776.75 : x
  2. Step 2: Convert to fraction form
    23,097.75/34,776.75 = 34,776.75/x
  3. Step 3: Cross multiply
    23,097.75x = 34,776.75 × 34,776.75
  4. Step 4: Simplify right side
    23,097.75x = 1,209,422,340.56
  5. Step 5: Solve for x
    x = 1,209,422,340.56/23,097.75
  6. Step 6: Final answer
    x = 52,361.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.