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Finding the Third Proportional to 12,147.75 and 17,756.25

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Solution

The third proportional to 12,147.75 and 17,756.25 is: 25,954.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.75 : 17,756.25 = 17,756.25 : x
  2. Step 2: Convert to fraction form
    12,147.75/17,756.25 = 17,756.25/x
  3. Step 3: Cross multiply
    12,147.75x = 17,756.25 × 17,756.25
  4. Step 4: Simplify right side
    12,147.75x = 315,284,414.06
  5. Step 5: Solve for x
    x = 315,284,414.06/12,147.75
  6. Step 6: Final answer
    x = 25,954.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.