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Finding the Third Proportional to 11,631.75 and 25,437

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Solution

The third proportional to 11,631.75 and 25,437 is: 55,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.75 : 25,437 = 25,437 : x
  2. Step 2: Convert to fraction form
    11,631.75/25,437 = 25,437/x
  3. Step 3: Cross multiply
    11,631.75x = 25,437 × 25,437
  4. Step 4: Simplify right side
    11,631.75x = 647,040,969
  5. Step 5: Solve for x
    x = 647,040,969/11,631.75
  6. Step 6: Final answer
    x = 55,627.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.