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Finding the Third Proportional to 12,114.75 and 25,697

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Solution

The third proportional to 12,114.75 and 25,697 is: 54,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.75 : 25,697 = 25,697 : x
  2. Step 2: Convert to fraction form
    12,114.75/25,697 = 25,697/x
  3. Step 3: Cross multiply
    12,114.75x = 25,697 × 25,697
  4. Step 4: Simplify right side
    12,114.75x = 660,335,809
  5. Step 5: Solve for x
    x = 660,335,809/12,114.75
  6. Step 6: Final answer
    x = 54,506.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.