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Finding the Third Proportional to 23,403.75 and 27,399.75

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Solution

The third proportional to 23,403.75 and 27,399.75 is: 32,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,403.75 : 27,399.75 = 27,399.75 : x
  2. Step 2: Convert to fraction form
    23,403.75/27,399.75 = 27,399.75/x
  3. Step 3: Cross multiply
    23,403.75x = 27,399.75 × 27,399.75
  4. Step 4: Simplify right side
    23,403.75x = 750,746,300.06
  5. Step 5: Solve for x
    x = 750,746,300.06/23,403.75
  6. Step 6: Final answer
    x = 32,078.03

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.